56354900 has 144 divisors (see below), whose sum is σ = 149990400. Its totient is φ = 18345600.

The previous prime is 56354873. The next prime is 56354933. The reversal of 56354900 is 945365.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1063274 + ... + 1063326.

It is an arithmetic number, because the mean of its divisors is an integer number (1041600).

Almost surely, 2^56354900 is an apocalyptic number.

56354900 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 56354900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74995200).

56354900 is an abundant number, since it is smaller than the sum of its proper divisors (93635500).

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

56354900 is a wasteful number, since it uses less digits than its factorization.

56354900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 32.

The square root of 56354900 is about 7506.9900759226. The cubic root of 56354900 is about 383.3927486144.

The spelling of 56354900 in words is "fifty-six million, three hundred fifty-four thousand, nine hundred".