462728712 has 64 divisors (see below), whose sum is σ = 1227441600. Its totient is φ = 144865280.

The previous prime is 462728699. The next prime is 462728741. The reversal of 462728712 is 217827264.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 268012 + ... + 269732.

It is an arithmetic number, because the mean of its divisors is an integer number (19178775).

Almost surely, 2^462728712 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 462728712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (613720800).

462728712 is an abundant number, since it is smaller than the sum of its proper divisors (764712888).

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

462728712 is a wasteful number, since it uses less digits than its factorization.

462728712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2406 (or 2402 counting only the distinct ones).

The product of its digits is 75264, while the sum is 39.

The square root of 462728712 is about 21511.1299563737. The cubic root of 462728712 is about 773.4676413247.

The spelling of 462728712 in words is "four hundred sixty-two million, seven hundred twenty-eight thousand, seven hundred twelve".