7452417456 has 120 divisors (see below), whose sum is σ = 23367571344. Its totient is φ = 2197255680.

The previous prime is 7452417433. The next prime is 7452417487. The reversal of 7452417456 is 6547142547.

7452417456 is a `hidden beast` number, since 7 + 4 + 524 + 1 + 74 + 56 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4971 + ... + 122186.

Almost surely, 2^7452417456 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 7452417456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11683785672).

7452417456 is an abundant number, since it is smaller than the sum of its proper divisors (15915153888).

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

7452417456 is a wasteful number, since it uses less digits than its factorization.

7452417456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127219 (or 127210 counting only the distinct ones).

The product of its digits is 940800, while the sum is 45.

The square root of 7452417456 is about 86327.3853189126. The cubic root of 7452417456 is about 1953.2854940066.

The spelling of 7452417456 in words is "seven billion, four hundred fifty-two million, four hundred seventeen thousand, four hundred fifty-six".