56420352 has 72 divisors (see below), whose sum is σ = 163005570. Its totient is φ = 18800640.

The previous prime is 56420347. The next prime is 56420359. The reversal of 56420352 is 25302465.

It can be written as a sum of positive squares in only one way, i.e., 34292736 + 22127616 = 5856^2 + 4704^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×56420352² = 6366512239607808, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (56420359) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 16902 + ... + 19962.

Almost surely, 2^56420352 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 56420352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81502785).

56420352 is an abundant number, since it is smaller than the sum of its proper divisors (106585218).

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

56420352 is a wasteful number, since it uses less digits than its factorization.

56420352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3089 (or 3066 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 56420352 is about 7511.3482145351. The cubic root of 56420352 is about 383.5411185200.

The spelling of 56420352 in words is "fifty-six million, four hundred twenty thousand, three hundred fifty-two".