462396672 has 108 divisors (see below), whose sum is σ = 1347598980. Its totient is φ = 152469504.

The previous prime is 462396643. The next prime is 462396679. The reversal of 462396672 is 276693264.

It can be written as a sum of positive squares in 2 ways, for example, as 134931456 + 327465216 = 11616^2 + 18096^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (462396679) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 222454 + ... + 224522.

Almost surely, 2^462396672 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 462396672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (673799490).

462396672 is an abundant number, since it is smaller than the sum of its proper divisors (885202308).

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

462396672 is a wasteful number, since it uses less digits than its factorization.

462396672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2188 (or 2171 counting only the distinct ones).

The product of its digits is 653184, while the sum is 45.

The square root of 462396672 is about 21503.4107062112. The cubic root of 462396672 is about 773.2825914652.

The spelling of 462396672 in words is "four hundred sixty-two million, three hundred ninety-six thousand, six hundred seventy-two".