556802400 has 576 divisors, whose sum is σ = 2375847936. Its totient is φ = 109824000.

The previous prime is 556802371. The next prime is 556802437. The reversal of 556802400 is 4208655.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4250335 + ... + 4250465.

It is an arithmetic number, because the mean of its divisors is an integer number (4124736).

Almost surely, 2^556802400 is an apocalyptic number.

556802400 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 556802400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1187923968).

556802400 is an abundant number, since it is smaller than the sum of its proper divisors (1819045536).

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

556802400 is a wasteful number, since it uses less digits than its factorization.

556802400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The square root of 556802400 is about 23596.6607807122. The cubic root of 556802400 is about 822.6852284980.

The spelling of 556802400 in words is "five hundred fifty-six million, eight hundred two thousand, four hundred".