56001456 has 100 divisors (see below), whose sum is σ = 185269392. Its totient is φ = 15997824.

The previous prime is 56001433. The next prime is 56001457. The reversal of 56001456 is 65410065.

It is a happy number.

56001456 is a `hidden beast` number, since 5 + 600 + 1 + 4 + 56 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (56001457) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 5986 + ... + 12158.

Almost surely, 2^56001456 is an apocalyptic number.

56001456 is a gapful number since it is divisible by the number (56) 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 56001456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92634696).

56001456 is an abundant number, since it is smaller than the sum of its proper divisors (129267936).

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

56001456 is a wasteful number, since it uses less digits than its factorization.

56001456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6200 (or 6185 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 56001456 is about 7483.4120560076. The cubic root of 56001456 is about 382.5895522731.

It can be divided in two parts, 5600 and 1456, that added together give a square (7056 = 84²).

The spelling of 56001456 in words is "fifty-six million, one thousand, four hundred fifty-six".