56471040 has 320 divisors, whose sum is σ = 216057600. Its totient is φ = 13934592.

The previous prime is 56471029. The next prime is 56471101. The reversal of 56471040 is 4017465.

56471040 is a `hidden beast` number, since 5 + 647 + 10 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 56470995 and 56471013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1313259 + ... + 1313301.

It is an arithmetic number, because the mean of its divisors is an integer number (675180).

Almost surely, 2^56471040 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 56471040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108028800).

56471040 is an abundant number, since it is smaller than the sum of its proper divisors (159586560).

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

56471040 is a wasteful number, since it uses less digits than its factorization.

56471040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 56471040 is about 7514.7215517276. The cubic root of 56471040 is about 383.6559418212.

The spelling of 56471040 in words is "fifty-six million, four hundred seventy-one thousand, forty".