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469966140 = 2232571967293
BaseRepresentation
bin11100000000110…
…001110100111100
31012202022202100100
4130000301310330
51430302404030
6114345001100
714434434450
oct3400616474
91182282310
10469966140
11221313576
12111483190
137649a897
14465b8660
152b3d4360
hex1c031d3c

469966140 has 288 divisors, whose sum is σ = 1746501120. Its totient is φ = 99906048.

The previous prime is 469966129. The next prime is 469966151. The reversal of 469966140 is 41669964.

469966140 is a `hidden beast` number, since 469 + 96 + 61 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (469966129) and next prime (469966151).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1603834 + ... + 1604126.

It is an arithmetic number, because the mean of its divisors is an integer number (6064240).

Almost surely, 2469966140 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 469966140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (873250560).

469966140 is an abundant number, since it is smaller than the sum of its proper divisors (1276534980).

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

469966140 is a wasteful number, since it uses less digits than its factorization.

469966140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 469966140 is about 21678.7024519458. The cubic root of 469966140 is about 777.4793383053.

The spelling of 469966140 in words is "four hundred sixty-nine million, nine hundred sixty-six thousand, one hundred forty".