465504732 has 240 divisors, whose sum is σ = 1553384448. Its totient is φ = 118039680.

The previous prime is 465504709. The next prime is 465504803. The reversal of 465504732 is 237405564.

It is a super-3 number, since 3×465504732³ (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1172358 + ... + 1172754.

Almost surely, 2^465504732 is an apocalyptic number.

465504732 is a gapful number since it is divisible by the number (42) 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 465504732, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (776692224).

465504732 is an abundant number, since it is smaller than the sum of its proper divisors (1087879716).

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

465504732 is a wasteful number, since it uses less digits than its factorization.

465504732 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 478 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 36.

The square root of 465504732 is about 21575.5586717934. The cubic root of 465504732 is about 775.0112975113.

The spelling of 465504732 in words is "four hundred sixty-five million, five hundred four thousand, seven hundred thirty-two".