465540132 has 48 divisors (see below), whose sum is σ = 1136419200. Its totient is φ = 148135680.

The previous prime is 465540107. The next prime is 465540133. The reversal of 465540132 is 231045564.

It is a super-2 number, since 2×465540132² = 433455229005154848, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 465540132.

It is not an unprimeable number, because it can be changed into a prime (465540133) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23457 + ... + 38487.

It is an arithmetic number, because the mean of its divisors is an integer number (23675400).

Almost surely, 2^465540132 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 465540132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (568209600).

465540132 is an abundant number, since it is smaller than the sum of its proper divisors (670879068).

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

465540132 is a wasteful number, since it uses less digits than its factorization.

465540132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15156 (or 15154 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 465540132 is about 21576.3790289288. The cubic root of 465540132 is about 775.0309426425.

Adding to 465540132 its reverse (231045564), we get a palindrome (696585696).

The spelling of 465540132 in words is "four hundred sixty-five million, five hundred forty thousand, one hundred thirty-two".