565488400 has 135 divisors (see below), whose sum is σ = 1442204413. Its totient is φ = 213068800.

The previous prime is 565488397. The next prime is 565488421. The reversal of 565488400 is 4884565.

The square root of 565488400 is 23780.

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

It can be written as a sum of positive squares in 13 ways, for example, as 559417104 + 6071296 = 23652^2 + 2464^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 13792380 + ... + 13792420.

Almost surely, 2^565488400 is an apocalyptic number.

565488400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

565488400 is the 23780-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 565488400

565488400 is an abundant number, since it is smaller than the sum of its proper divisors (876716013).

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

565488400 is a wasteful number, since it uses less digits than its factorization.

565488400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 40.

The cubic root of 565488400 is about 826.9410798427.

The spelling of 565488400 in words is "five hundred sixty-five million, four hundred eighty-eight thousand, four hundred".