56990400 has 168 divisors, whose sum is σ = 193511424. Its totient is φ = 14668800.

The previous prime is 56990399. The next prime is 56990411. The reversal of 56990400 is 409965.

It is a happy number.

It is a super-3 number, since 3×56990400³ (a number of 24 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 148609 + ... + 148991.

Almost surely, 2^56990400 is an apocalyptic number.

56990400 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 56990400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96755712).

56990400 is an abundant number, since it is smaller than the sum of its proper divisors (136521024).

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

56990400 is a wasteful number, since it uses less digits than its factorization.

56990400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 439 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 33.

The square root of 56990400 is about 7549.1986329676. The cubic root of 56990400 is about 384.8285062942.

The spelling of 56990400 in words is "fifty-six million, nine hundred ninety thousand, four hundred".