465315282432 has 960 divisors, whose sum is σ = 1814553861120. Its totient is φ = 110857420800.

The previous prime is 465315282407. The next prime is 465315282457. The reversal of 465315282432 is 234282513564.

465315282432 is a `hidden beast` number, since 4 + 6 + 531 + 5 + 2 + 82 + 4 + 32 = 666.

It is an interprime number because it is at equal distance from previous prime (465315282407) and next prime (465315282457).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1296142669 + ... + 1296143027.

It is an arithmetic number, because the mean of its divisors is an integer number (1890160272).

Almost surely, 2^465315282432 is an apocalyptic number.

465315282432 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 465315282432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (907276930560).

465315282432 is an abundant number, since it is smaller than the sum of its proper divisors (1349238578688).

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

465315282432 is a wasteful number, since it uses less digits than its factorization.

465315282432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 695 (or 676 counting only the distinct ones).

The product of its digits is 1382400, while the sum is 45.

Adding to 465315282432 its reverse (234282513564), we get a palindrome (699597795996).

It can be divided in two parts, 465315 and 282432, that added together give a palindrome (747747).

The spelling of 465315282432 in words is "four hundred sixty-five billion, three hundred fifteen million, two hundred eighty-two thousand, four hundred thirty-two".