465807132 has 288 divisors, whose sum is σ = 1516838400. Its totient is φ = 122943744.

The previous prime is 465807127. The next prime is 465807137. The reversal of 465807132 is 231708564.

465807132 is a `hidden beast` number, since 4 + 6 + 580 + 71 + 3 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (465807127) and next prime (465807137).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (465807137) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5233744 + ... + 5233832.

It is an arithmetic number, because the mean of its divisors is an integer number (5266800).

Almost surely, 2^465807132 is an apocalyptic number.

465807132 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 465807132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (758419200).

465807132 is an abundant number, since it is smaller than the sum of its proper divisors (1051031268).

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

465807132 is a wasteful number, since it uses less digits than its factorization.

465807132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 465807132 is about 21582.5654638182. The cubic root of 465807132 is about 775.1790814741.

The spelling of 465807132 in words is "four hundred sixty-five million, eight hundred seven thousand, one hundred thirty-two".