56453120 has 96 divisors (see below), whose sum is σ = 140049000. Its totient is φ = 21823488.

The previous prime is 56453113. The next prime is 56453149. The reversal of 56453120 is 2135465.

It can be written as a sum of positive squares in 4 ways, for example, as 45589504 + 10863616 = 6752^2 + 3296^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 56453120.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 378806 + ... + 378954.

Almost surely, 2^56453120 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 56453120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70024500).

56453120 is an abundant number, since it is smaller than the sum of its proper divisors (83595880).

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

56453120 is a wasteful number, since it uses less digits than its factorization.

56453120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 26.

The square root of 56453120 is about 7513.5291308412. The cubic root of 56453120 is about 383.6153555795.

Adding to 56453120 its reverse (2135465), we get a palindrome (58588585).

The spelling of 56453120 in words is "fifty-six million, four hundred fifty-three thousand, one hundred twenty".