462879960 has 128 divisors (see below), whose sum is σ = 1419724800. Its totient is φ = 120706560.

The previous prime is 462879917. The next prime is 462880001. The reversal of 462879960 is 69978264.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1488205 + ... + 1488515.

It is an arithmetic number, because the mean of its divisors is an integer number (11091600).

Almost surely, 2^462879960 is an apocalyptic number.

462879960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 462879960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (709862400).

462879960 is an abundant number, since it is smaller than the sum of its proper divisors (956844840).

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

462879960 is a wasteful number, since it uses less digits than its factorization.

462879960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 561 (or 557 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 51.

The square root of 462879960 is about 21514.6452445770. The cubic root of 462879960 is about 773.5519042971.

The spelling of 462879960 in words is "four hundred sixty-two million, eight hundred seventy-nine thousand, nine hundred sixty".