56060400 has 240 divisors, whose sum is σ = 203701248. Its totient is φ = 13056000.

The previous prime is 56060399. The next prime is 56060401. The reversal of 56060400 is 406065.

It is an interprime number because it is at equal distance from previous prime (56060399) and next prime (56060401).

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56060401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 409132 + ... + 409268.

Almost surely, 2^56060400 is an apocalyptic number.

56060400 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 56060400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101850624).

56060400 is an abundant number, since it is smaller than the sum of its proper divisors (147640848).

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

56060400 is a wasteful number, since it uses less digits than its factorization.

56060400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 56060400 is about 7487.3493307044. The cubic root of 56060400 is about 382.7237359932.

Adding to 56060400 its reverse (406065), we get a palindrome (56466465).

The spelling of 56060400 in words is "fifty-six million, sixty thousand, four hundred".