465524928 has 224 divisors, whose sum is σ = 1572768000. Its totient is φ = 133539840.

The previous prime is 465524887. The next prime is 465524929. The reversal of 465524928 is 829425564.

465524928 is a `hidden beast` number, since 4 + 6 + 552 + 4 + 92 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (465524929) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 360508 + ... + 361796.

Almost surely, 2^465524928 is an apocalyptic number.

465524928 is a gapful number since it is divisible by the number (48) 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 465524928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (786384000).

465524928 is an abundant number, since it is smaller than the sum of its proper divisors (1107243072).

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

465524928 is a wasteful number, since it uses less digits than its factorization.

465524928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1340 (or 1324 counting only the distinct ones).

The product of its digits is 691200, while the sum is 45.

The square root of 465524928 is about 21576.0266963127. The cubic root of 465524928 is about 775.0225053472.

The spelling of 465524928 in words is "four hundred sixty-five million, five hundred twenty-four thousand, nine hundred twenty-eight".