47265456 has 160 divisors (see below), whose sum is σ = 147990528. Its totient is φ = 12718080.

The previous prime is 47265443. The next prime is 47265479. The reversal of 47265456 is 65456274.

47265456 = T₁ + T₂ + ... + T₆₅₆.

47265456 is a nontrivial binomial coefficient, being equal to C(658, 3).

It is an unprimeable number.

It is the 656-th tetrahedral number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 647436 + ... + 647508.

Almost surely, 2^47265456 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 47265456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73995264).

47265456 is an abundant number, since it is smaller than the sum of its proper divisors (100725072).

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

47265456 is a wasteful number, since it uses less digits than its factorization.

47265456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 173 counting only the distinct ones).

The product of its digits is 201600, while the sum is 39.

The square root of 47265456 is about 6874.9877090799. The cubic root of 47265456 is about 361.5607545446.

The spelling of 47265456 in words is "forty-seven million, two hundred sixty-five thousand, four hundred fifty-six".