56417460 has 144 divisors (see below), whose sum is σ = 183220800. Its totient is φ = 12925440.

The previous prime is 56417453. The next prime is 56417461. The reversal of 56417460 is 6471465.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56417461) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 137736 + ... + 138144.

Almost surely, 2^56417460 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 56417460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91610400).

56417460 is an abundant number, since it is smaller than the sum of its proper divisors (126803340).

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

56417460 is a wasteful number, since it uses less digits than its factorization.

56417460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 462 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 56417460 is about 7511.1557033522. The cubic root of 56417460 is about 383.5345652118.

The spelling of 56417460 in words is "fifty-six million, four hundred seventeen thousand, four hundred sixty".