56432400 has 240 divisors, whose sum is σ = 196320768. Its totient is φ = 13824000.

The previous prime is 56432377. The next prime is 56432407. The reversal of 56432400 is 423465.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (56432407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1376380 + ... + 1376420.

Almost surely, 2^56432400 is an apocalyptic number.

56432400 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 56432400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98160384).

56432400 is an abundant number, since it is smaller than the sum of its proper divisors (139888368).

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

56432400 is a wasteful number, since it uses less digits than its factorization.

56432400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 56432400 is about 7512.1501582436. The cubic root of 56432400 is about 383.5684170293.

Adding to 56432400 its reverse (423465), we get a palindrome (56855865).

The spelling of 56432400 in words is "fifty-six million, four hundred thirty-two thousand, four hundred".