562380800 has 90 divisors (see below), whose sum is σ = 1395677598. Its totient is φ = 224788480.

The previous prime is 562380799. The next prime is 562380809. The reversal of 562380800 is 8083265.

It can be written as a sum of positive squares in 3 ways, for example, as 173817856 + 388562944 = 13184^2 + 19712^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (562380809) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 408914 + ... + 410286.

Almost surely, 2^562380800 is an apocalyptic number.

562380800 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 562380800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (697838799).

562380800 is an abundant number, since it is smaller than the sum of its proper divisors (833296798).

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

562380800 is an equidigital number, since it uses as much as digits as its factorization.

562380800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1411 (or 1380 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 32.

The square root of 562380800 is about 23714.5693614706. The cubic root of 562380800 is about 825.4234985150.

The spelling of 562380800 in words is "five hundred sixty-two million, three hundred eighty thousand, eight hundred".