465700032 has 168 divisors, whose sum is σ = 1606092800. Its totient is φ = 126033408.

The previous prime is 465700003. The next prime is 465700033. The reversal of 465700032 is 230007564.

It is a happy number.

465700032 is a `hidden beast` number, since 4 + 657 + 0 + 0 + 0 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a junction number, because it is equal to n+sod(n) for n = 465699969 and 465700005.

It is not an unprimeable number, because it can be changed into a prime (465700033) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 73569 + ... + 79647.

Almost surely, 2^465700032 is an apocalyptic number.

465700032 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 465700032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (803046400).

465700032 is an abundant number, since it is smaller than the sum of its proper divisors (1140392768).

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

465700032 is a wasteful number, since it uses less digits than its factorization.

465700032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6123 (or 6110 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 465700032 is about 21580.0841518285. The cubic root of 465700032 is about 775.1196662944.

Adding to 465700032 its reverse (230007564), we get a palindrome (695707596).

The spelling of 465700032 in words is "four hundred sixty-five million, seven hundred thousand, thirty-two".