56465424 has 140 divisors (see below), whose sum is σ = 169143936. Its totient is φ = 18242496.

The previous prime is 56465417. The next prime is 56465429. The reversal of 56465424 is 42456465.

56465424 is a `hidden beast` number, since 5 + 646 + 5 + 4 + 2 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56465429) by changing a digit.

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 27 ways as a sum of consecutive naturals, for example, 548157 + ... + 548259.

Almost surely, 2^56465424 is an apocalyptic number.

56465424 is a gapful number since it is divisible by the number (54) 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 56465424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84571968).

56465424 is an abundant number, since it is smaller than the sum of its proper divisors (112678512).

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

56465424 is a wasteful number, since it uses less digits than its factorization.

56465424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 155 counting only the distinct ones).

The product of its digits is 115200, while the sum is 36.

The square root of 56465424 is about 7514.3478758971. The cubic root of 56465424 is about 383.6432233068.

The spelling of 56465424 in words is "fifty-six million, four hundred sixty-five thousand, four hundred twenty-four".