56429760 has 112 divisors (see below), whose sum is σ = 183465216. Its totient is φ = 14687232.

The previous prime is 56429759. The next prime is 56429777. The reversal of 56429760 is 6792465.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40597 + ... + 41963.

Almost surely, 2^56429760 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 56429760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91732608).

56429760 is an abundant number, since it is smaller than the sum of its proper divisors (127035456).

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

56429760 is a wasteful number, since it uses less digits than its factorization.

56429760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1430 (or 1420 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 39.

The square root of 56429760 is about 7511.9744408511. The cubic root of 56429760 is about 383.5624356167.

The spelling of 56429760 in words is "fifty-six million, four hundred twenty-nine thousand, seven hundred sixty".