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469757420 = 225119722013
BaseRepresentation
bin11011111111111…
…110110111101100
31012201221011000222
4123333332313230
51430224214140
6114340310512
714432605106
oct3377766754
91181834028
10469757420
11221190780
121113a2438
1376426892
1446562576
152b3925b5
hex1bffedec

469757420 has 48 divisors (see below), whose sum is σ = 1087315488. Its totient is φ = 169052160.

The previous prime is 469757417. The next prime is 469757423. The reversal of 469757420 is 24757964.

It is an interprime number because it is at equal distance from previous prime (469757417) and next prime (469757423).

It is a Harshad number since it is a multiple of its sum of digits (44).

It is not an unprimeable number, because it can be changed into a prime (469757423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10334 + ... + 32346.

It is an arithmetic number, because the mean of its divisors is an integer number (22652406).

Almost surely, 2469757420 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 469757420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (543657744).

469757420 is an abundant number, since it is smaller than the sum of its proper divisors (617558068).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

469757420 is a wasteful number, since it uses less digits than its factorization.

469757420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22130 (or 22128 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 44.

The square root of 469757420 is about 21673.8879760877. The cubic root of 469757420 is about 777.3642239721.

The spelling of 469757420 in words is "four hundred sixty-nine million, seven hundred fifty-seven thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 97 110 194 220 388 485 970 1067 1940 2134 4268 5335 10670 21340 22013 44026 88052 110065 220130 242143 440260 484286 968572 1210715 2135261 2421430 4270522 4842860 8541044 10676305 21352610 23487871 42705220 46975742 93951484 117439355 234878710 469757420