462715272 has 96 divisors (see below), whose sum is σ = 1277920800. Its totient is φ = 151227648.

The previous prime is 462715261. The next prime is 462715273. The reversal of 462715272 is 272517264.

It is a happy number.

462715272 is a `hidden beast` number, since 4 + 62 + 71 + 527 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (462715273) 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, 1044283 + ... + 1044725.

It is an arithmetic number, because the mean of its divisors is an integer number (13311675).

Almost surely, 2^462715272 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 462715272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (638960400).

462715272 is an abundant number, since it is smaller than the sum of its proper divisors (815205528).

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

462715272 is a wasteful number, since it uses less digits than its factorization.

462715272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 707 (or 700 counting only the distinct ones).

The product of its digits is 47040, while the sum is 36.

The square root of 462715272 is about 21510.8175576848. The cubic root of 462715272 is about 773.4601527715.

The spelling of 462715272 in words is "four hundred sixty-two million, seven hundred fifteen thousand, two hundred seventy-two".