461979999438400 has 63 divisors (see below), whose sum is σ = 1136761651641441. Its totient is φ = 184791655875840.

The previous prime is 461979999438367. The next prime is 461979999438487. The reversal of 461979999438400 is 4834999979164.

The square root of 461979999438400 is 21493720.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 166312799797824 + 295667199640576 = 12896232^2 + 17194976^2 .

It is a super-2 number, since 2×461979999438400² (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 859480129 + ... + 860017471.

Almost surely, 2^{461979999438400} is an apocalyptic number.

461979999438400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

461979999438400 is the 21493720-th square number.

It is an amenable number.

461979999438400 is an abundant number, since it is smaller than the sum of its proper divisors (674781652203041).

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

461979999438400 is an frugal number, since it uses more digits than its factorization.

461979999438400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1074708 (or 537350 counting only the distinct ones).

The product of its (nonzero) digits is 3809369088, while the sum is 82.

The spelling of 461979999438400 in words is "four hundred sixty-one trillion, nine hundred seventy-nine billion, nine hundred ninety-nine million, four hundred thirty-eight thousand, four hundred".