6460944400 has 45 divisors (see below), whose sum is σ = 15526282141. Its totient is φ = 2583734720.

The previous prime is 6460944389. The next prime is 6460944419. The reversal of 6460944400 is 44490646.

The square root of 6460944400 is 80380.

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., 2325939984 + 4135004416 = 48228^2 + 64304^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 6460944400.

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, 1605591 + ... + 1609609.

Almost surely, 2^6460944400 is an apocalyptic number.

6460944400 is the 80380-th square number.

It is an amenable number.

6460944400 is an abundant number, since it is smaller than the sum of its proper divisors (9065337741).

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

6460944400 is an frugal number, since it uses more digits than its factorization.

6460944400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8056 (or 4026 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 37.

The cubic root of 6460944400 is about 1862.5102346179.

Multiplying 6460944400 by its product of nonzero digits (82944), we get a square (535896572313600 = 23149440²).

The spelling of 6460944400 in words is "six billion, four hundred sixty million, nine hundred forty-four thousand, four hundred".