462518252 has 72 divisors (see below), whose sum is σ = 1005709824. Its totient is φ = 184923648.

The previous prime is 462518249. The next prime is 462518261. The reversal of 462518252 is 252815264.

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, 422618 + ... + 423710.

It is an arithmetic number, because the mean of its divisors is an integer number (13968192).

Almost surely, 2^462518252 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 462518252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (502854912).

462518252 is an abundant number, since it is smaller than the sum of its proper divisors (543191572).

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

462518252 is a wasteful number, since it uses less digits than its factorization.

462518252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1255 (or 1246 counting only the distinct ones).

The product of its digits is 38400, while the sum is 35.

The square root of 462518252 is about 21506.2375138005. The cubic root of 462518252 is about 773.3503597288.

The spelling of 462518252 in words is "four hundred sixty-two million, five hundred eighteen thousand, two hundred fifty-two".