465930432 has 168 divisors, whose sum is σ = 1469574912. Its totient is φ = 139968000.

The previous prime is 465930427. The next prime is 465930461. The reversal of 465930432 is 234039564.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 956493 + ... + 956979.

Almost surely, 2^465930432 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 465930432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (734787456).

465930432 is an abundant number, since it is smaller than the sum of its proper divisors (1003644480).

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

465930432 is a wasteful number, since it uses less digits than its factorization.

465930432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 667 (or 654 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The square root of 465930432 is about 21585.4217470959. The cubic root of 465930432 is about 775.2474725470.

Adding to 465930432 its reverse (234039564), we get a palindrome (699969996).

The spelling of 465930432 in words is "four hundred sixty-five million, nine hundred thirty thousand, four hundred thirty-two".