621310464 has 120 divisors (see below), whose sum is σ = 1811057820. Its totient is φ = 205037568.

The previous prime is 621310453. The next prime is 621310553. The reversal of 621310464 is 464013126.

621310464 is a `hidden beast` number, since 621 + 31 + 0 + 4 + 6 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 587577600 + 33732864 = 24240^2 + 5808^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 501654 + ... + 502890.

Almost surely, 2^621310464 is an apocalyptic number.

621310464 is a gapful number since it is divisible by the number (64) 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 621310464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (905528910).

621310464 is an abundant number, since it is smaller than the sum of its proper divisors (1189747356).

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

621310464 is a wasteful number, since it uses less digits than its factorization.

621310464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1370 (or 1351 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 621310464 is about 24926.1000559654. The cubic root of 621310464 is about 853.3022471315.

The spelling of 621310464 in words is "six hundred twenty-one million, three hundred ten thousand, four hundred sixty-four".