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469325120 = 265112172331
BaseRepresentation
bin11011111110010…
…101010101000000
31012201010012000212
4123332111111000
51430121400440
6114323133252
714426124545
oct3376252500
91181105025
10469325120
11220a15a00
12111214228
1376304b94
144648cbcc
152b309465
hex1bf95540

469325120 has 336 divisors, whose sum is σ = 1401007104. Its totient is φ = 148684800.

The previous prime is 469325119. The next prime is 469325141. The reversal of 469325120 is 21523964.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15139505 + ... + 15139535.

It is an arithmetic number, because the mean of its divisors is an integer number (4169664).

Almost surely, 2469325120 is an apocalyptic number.

469325120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 469325120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (700503552).

469325120 is an abundant number, since it is smaller than the sum of its proper divisors (931681984).

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

469325120 is a wasteful number, since it uses less digits than its factorization.

469325120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 32.

The square root of 469325120 is about 21663.9128506371. The cubic root of 469325120 is about 777.1256911474.

The spelling of 469325120 in words is "four hundred sixty-nine million, three hundred twenty-five thousand, one hundred twenty".