56434400 has 144 divisors (see below), whose sum is σ = 154396368. Its totient is φ = 20134400.

The previous prime is 56434381. The next prime is 56434429. The reversal of 56434400 is 443465.

It is a self number, because there is not a number n which added to its sum of digits gives 56434400.

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, 1064774 + ... + 1064826.

It is an arithmetic number, because the mean of its divisors is an integer number (1072197).

Almost surely, 2^56434400 is an apocalyptic number.

56434400 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 56434400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77198184).

56434400 is an abundant number, since it is smaller than the sum of its proper divisors (97961968).

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

56434400 is a wasteful number, since it uses less digits than its factorization.

56434400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 26.

The square root of 56434400 is about 7512.2832747441. The cubic root of 56434400 is about 383.5729482783.

Adding to 56434400 its reverse (443465), we get a palindrome (56877865).

The spelling of 56434400 in words is "fifty-six million, four hundred thirty-four thousand, four hundred".