45207264400 has 45 divisors (see below), whose sum is σ = 108620670073. Its totient is φ = 18081204800.

The previous prime is 45207264397. The next prime is 45207264413. The reversal of 45207264400 is 446270254.

The square root of 45207264400 is 212620.

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., 16274615184 + 28932649216 = 127572^2 + 170096^2 .

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, 4247085 + ... + 4257715.

Almost surely, 2^45207264400 is an apocalyptic number.

45207264400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

45207264400 is the 212620-th square number.

It is an amenable number.

45207264400 is an abundant number, since it is smaller than the sum of its proper divisors (63413405673).

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

45207264400 is an frugal number, since it uses more digits than its factorization.

45207264400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21280 (or 10638 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 34.

The spelling of 45207264400 in words is "forty-five billion, two hundred seven million, two hundred sixty-four thousand, four hundred".