56346300 has 144 divisors (see below), whose sum is σ = 185925600. Its totient is φ = 14630400.

The previous prime is 56346299. The next prime is 56346317. The reversal of 56346300 is 364365.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 110446 + ... + 110954.

It is an arithmetic number, because the mean of its divisors is an integer number (1291150).

Almost surely, 2^56346300 is an apocalyptic number.

56346300 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 56346300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92962800).

56346300 is an abundant number, since it is smaller than the sum of its proper divisors (129579300).

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

56346300 is a wasteful number, since it uses less digits than its factorization.

56346300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 573 (or 560 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 56346300 is about 7506.4172545896. The cubic root of 56346300 is about 383.3732451617.

The spelling of 56346300 in words is "fifty-six million, three hundred forty-six thousand, three hundred".