56301280 has 96 divisors (see below), whose sum is σ = 161009856. Its totient is φ = 18161664.

The previous prime is 56301277. The next prime is 56301283. The reversal of 56301280 is 8210365.

56301280 = T₁₅₅ + T₁₅₆ + ... + T₆₉₈.

It is a happy number.

56301280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (56301277) and next prime (56301283).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56301283) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17562 + ... + 20518.

It is an arithmetic number, because the mean of its divisors is an integer number (1677186).

Almost surely, 2^56301280 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 56301280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80504928).

56301280 is an abundant number, since it is smaller than the sum of its proper divisors (104708576).

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

56301280 is a wasteful number, since it uses less digits than its factorization.

56301280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2996 (or 2988 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

The square root of 56301280 is about 7503.4178878695. The cubic root of 56301280 is about 383.2711144555.

The spelling of 56301280 in words is "fifty-six million, three hundred one thousand, two hundred eighty".