56434800 has 120 divisors (see below), whose sum is σ = 182666880. Its totient is φ = 14892800.

The previous prime is 56434789. The next prime is 56434813. The reversal of 56434800 is 843465.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 157021 + ... + 157379.

It is an arithmetic number, because the mean of its divisors is an integer number (1522224).

Almost surely, 2^56434800 is an apocalyptic number.

56434800 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 56434800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91333440).

56434800 is an abundant number, since it is smaller than the sum of its proper divisors (126232080).

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

56434800 is a wasteful number, since it uses less digits than its factorization.

56434800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 511 (or 500 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 56434800 is about 7512.3098977611. The cubic root of 56434800 is about 383.5738545153.

The spelling of 56434800 in words is "fifty-six million, four hundred thirty-four thousand, eight hundred".