562874400 has 576 divisors, whose sum is σ = 2339850240. Its totient is φ = 129254400.

The previous prime is 562874399. The next prime is 562874401. The reversal of 562874400 is 4478265.

It is an interprime number because it is at equal distance from previous prime (562874399) and next prime (562874401).

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

It is not an unprimeable number, because it can be changed into a prime (562874401) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5464749 + ... + 5464851.

It is an arithmetic number, because the mean of its divisors is an integer number (4062240).

Almost surely, 2^562874400 is an apocalyptic number.

562874400 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 562874400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1169925120).

562874400 is an abundant number, since it is smaller than the sum of its proper divisors (1776975840).

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

562874400 is a wasteful number, since it uses less digits than its factorization.

562874400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 562874400 is about 23724.9741833368. The cubic root of 562874400 is about 825.6649185026.

The spelling of 562874400 in words is "five hundred sixty-two million, eight hundred seventy-four thousand, four hundred".