462572672 has 64 divisors (see below), whose sum is σ = 949660800. Its totient is φ = 224308224.

The previous prime is 462572657. The next prime is 462572717. The reversal of 462572672 is 276275264.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1260233 + ... + 1260599.

It is an arithmetic number, because the mean of its divisors is an integer number (14838450).

Almost surely, 2^462572672 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 462572672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (474830400).

462572672 is an abundant number, since it is smaller than the sum of its proper divisors (487088128).

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

462572672 is a wasteful number, since it uses less digits than its factorization.

462572672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 653 (or 641 counting only the distinct ones).

The product of its digits is 282240, while the sum is 41.

The square root of 462572672 is about 21507.5026909216. The cubic root of 462572672 is about 773.3806893976.

The spelling of 462572672 in words is "four hundred sixty-two million, five hundred seventy-two thousand, six hundred seventy-two".