465938928 has 360 divisors, whose sum is σ = 1703161824. Its totient is φ = 115706880.

The previous prime is 465938903. The next prime is 465938929. The reversal of 465938928 is 829839564.

465938928 is a `hidden beast` number, since 46 + 593 + 8 + 9 + 2 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (465938929) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12592926 + ... + 12592962.

Almost surely, 2^465938928 is an apocalyptic number.

465938928 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 465938928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (851580912).

465938928 is an abundant number, since it is smaller than the sum of its proper divisors (1237222896).

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

465938928 is a wasteful number, since it uses less digits than its factorization.

465938928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 93 counting only the distinct ones).

The product of its digits is 3732480, while the sum is 54.

The square root of 465938928 is about 21585.6185456892. The cubic root of 465938928 is about 775.2521845970.

The spelling of 465938928 in words is "four hundred sixty-five million, nine hundred thirty-eight thousand, nine hundred twenty-eight".