427807564900 has 27 divisors (see below), whose sum is σ = 928356609369. Its totient is φ = 171120409680.

The previous prime is 427807564867. The next prime is 427807564957. The reversal of 427807564900 is 9465708724.

The square root of 427807564900 is 654070.

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., 154010723364 + 273796841536 = 392442^2 + 523256^2 .

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, 6507997 + ... + 6573403.

Almost surely, 2^427807564900 is an apocalyptic number.

427807564900 is the 654070-th square number.

It is an amenable number.

427807564900 is an abundant number, since it is smaller than the sum of its proper divisors (500549044469).

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

427807564900 is an frugal number, since it uses more digits than its factorization.

427807564900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130828 (or 65414 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 52.

The spelling of 427807564900 in words is "four hundred twenty-seven billion, eight hundred seven million, five hundred sixty-four thousand, nine hundred".