5307042456 has 512 divisors, whose sum is σ = 17677440000. Its totient is φ = 1463132160.

The previous prime is 5307042451. The next prime is 5307042457. The reversal of 5307042456 is 6542407035.

5307042456 is a `hidden beast` number, since 530 + 70 + 4 + 2 + 4 + 56 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 5307042456.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5307042451) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 87000666 + ... + 87000726.

It is an arithmetic number, because the mean of its divisors is an integer number (34526250).

Almost surely, 2^5307042456 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 5307042456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8838720000).

5307042456 is an abundant number, since it is smaller than the sum of its proper divisors (12370397544).

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

5307042456 is a wasteful number, since it uses less digits than its factorization.

5307042456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 36.

The square root of 5307042456 is about 72849.4506224995. The cubic root of 5307042456 is about 1744.2852995015.

The spelling of 5307042456 in words is "five billion, three hundred seven million, forty-two thousand, four hundred fifty-six".