56469600 has 432 divisors, whose sum is σ = 233985024. Its totient is φ = 12672000.

The previous prime is 56469599. The next prime is 56469601. The reversal of 56469600 is 696465.

It is a happy number.

56469600 is a `hidden beast` number, since 5 + 6 + 46 + 9 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (56469599) and next prime (56469601).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56469601) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1821585 + ... + 1821615.

It is an arithmetic number, because the mean of its divisors is an integer number (541632).

Almost surely, 2^56469600 is an apocalyptic number.

56469600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56469600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116992512).

56469600 is an abundant number, since it is smaller than the sum of its proper divisors (177515424).

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

56469600 is a wasteful number, since it uses less digits than its factorization.

56469600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 56469600 is about 7514.6257391836. The cubic root of 56469600 is about 383.6526807440.

The spelling of 56469600 in words is "fifty-six million, four hundred sixty-nine thousand, six hundred".