561790400 has 84 divisors (see below), whose sum is σ = 1388028720. Its totient is φ = 223795200.

The previous prime is 561790393. The next prime is 561790403. The reversal of 561790400 is 4097165.

It is a happy number.

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 (561790403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 497036 + ... + 498164.

Almost surely, 2^561790400 is an apocalyptic number.

561790400 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 561790400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (694014360).

561790400 is an abundant number, since it is smaller than the sum of its proper divisors (826238320).

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

561790400 is a wasteful number, since it uses less digits than its factorization.

561790400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1462 (or 1447 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 32.

The square root of 561790400 is about 23702.1180488158. The cubic root of 561790400 is about 825.1345479974.

The spelling of 561790400 in words is "five hundred sixty-one million, seven hundred ninety thousand, four hundred".