56125440 has 384 divisors, whose sum is σ = 235872000. Its totient is φ = 12386304.

The previous prime is 56125439. The next prime is 56125441. The reversal of 56125440 is 4452165.

56125440 is a `hidden beast` number, since 5 + 612 + 5 + 4 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (56125439) and next prime (56125441).

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56125441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1935346 + ... + 1935374.

It is an arithmetic number, because the mean of its divisors is an integer number (614250).

Almost surely, 2^56125440 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56125440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117936000).

56125440 is an abundant number, since it is smaller than the sum of its proper divisors (179746560).

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

56125440 is a wasteful number, since it uses less digits than its factorization.

56125440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 56125440 is about 7491.6913978086. The cubic root of 56125440 is about 382.8716879134.

It can be divided in two parts, 56125 and 440, that added together give a palindrome (56565).

The spelling of 56125440 in words is "fifty-six million, one hundred twenty-five thousand, four hundred forty".