56102400 has 180 divisors, whose sum is σ = 201187272. Its totient is φ = 14929920.

The previous prime is 56102399. The next prime is 56102407. The reversal of 56102400 is 420165.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56102407) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 114957 + ... + 115443.

Almost surely, 2^56102400 is an apocalyptic number.

56102400 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 56102400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100593636).

56102400 is an abundant number, since it is smaller than the sum of its proper divisors (145084872).

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

56102400 is a wasteful number, since it uses less digits than its factorization.

56102400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 521 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 56102400 is about 7490.1535364771. The cubic root of 56102400 is about 382.8192899809.

Adding to 56102400 its reverse (420165), we get a palindrome (56522565).

The spelling of 56102400 in words is "fifty-six million, one hundred two thousand, four hundred".