56430144 has 63 divisors (see below), whose sum is σ = 162265233. Its totient is φ = 18749952.

The previous prime is 56430103. The next prime is 56430149. The reversal of 56430144 is 44103465.

The square root of 56430144 is 7512.

It is a perfect power (a square), and thus also a powerful number.

56430144 is a `hidden beast` number, since 5 + 643 + 0 + 14 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 360000 + 56070144 = 600^2 + 7488^2 .

It is a super-2 number, since 2×56430144² = 6368722303721472, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (56430149) 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 8 ways as a sum of consecutive naturals, for example, 180132 + ... + 180444.

Almost surely, 2^56430144 is an apocalyptic number.

56430144 is the 7512-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56430144

56430144 is an abundant number, since it is smaller than the sum of its proper divisors (105835089).

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

56430144 is an equidigital number, since it uses as much as digits as its factorization.

56430144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 644 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The cubic root of 56430144 is about 383.5633056519.

The spelling of 56430144 in words is "fifty-six million, four hundred thirty thousand, one hundred forty-four".