56994400 has 72 divisors (see below), whose sum is σ = 140241024. Its totient is φ = 22617600.

The previous prime is 56994397. The next prime is 56994407. The reversal of 56994400 is 449965.

It is a self number, because there is not a number n which added to its sum of digits gives 56994400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56994407) 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, 152614 + ... + 152986.

It is an arithmetic number, because the mean of its divisors is an integer number (1947792).

Almost surely, 2^56994400 is an apocalyptic number.

56994400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

56994400 is the 4775-th heptagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56994400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70120512).

56994400 is an abundant number, since it is smaller than the sum of its proper divisors (83246624).

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

56994400 is a wasteful number, since it uses less digits than its factorization.

56994400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 584 (or 571 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 37.

The square root of 56994400 is about 7549.4635571013. The cubic root of 56994400 is about 384.8375094364.

The spelling of 56994400 in words is "fifty-six million, nine hundred ninety-four thousand, four hundred".