565538400 has 432 divisors, whose sum is σ = 2335788000. Its totient is φ = 128701440.

The previous prime is 565538387. The next prime is 565538417. The reversal of 565538400 is 4835565.

565538400 is a `hidden beast` number, since 565 + 53 + 8 + 40 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2469486 + ... + 2469714.

Almost surely, 2^565538400 is an apocalyptic number.

565538400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 565538400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1167894000).

565538400 is an abundant number, since it is smaller than the sum of its proper divisors (1770249600).

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

565538400 is a wasteful number, since it uses less digits than its factorization.

565538400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The square root of 565538400 is about 23781.0512803787. The cubic root of 565538400 is about 826.9654515984.

The spelling of 565538400 in words is "five hundred sixty-five million, five hundred thirty-eight thousand, four hundred".