56435850 has 72 divisors (see below), whose sum is σ = 153552672. Its totient is φ = 14858400.

The previous prime is 56435843. The next prime is 56435857. The reversal of 56435850 is 5853465.

56435850 is a `hidden beast` number, since 5 + 643 + 5 + 8 + 5 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (56435843) and next prime (56435857).

It is not an unprimeable number, because it can be changed into a prime (56435857) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 36595 + ... + 38105.

It is an arithmetic number, because the mean of its divisors is an integer number (2132676).

Almost surely, 2^56435850 is an apocalyptic number.

56435850 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 56435850, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76776336).

56435850 is an abundant number, since it is smaller than the sum of its proper divisors (97116822).

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

56435850 is a wasteful number, since it uses less digits than its factorization.

56435850 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1612 (or 1604 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The square root of 56435850 is about 7512.3797827320. The cubic root of 56435850 is about 383.5762333669.

The spelling of 56435850 in words is "fifty-six million, four hundred thirty-five thousand, eight hundred fifty".