556416000 has 704 divisors, whose sum is σ = 2452469760. Its totient is φ = 121651200.

The previous prime is 556415999. The next prime is 556416013. The reversal of 556416000 is 614655.

556416000 = 123³ + 124³ + ... + 222³.

It is a happy number.

556416000 is a `hidden beast` number, since 5 + 56 + 4 + 1 + 600 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 24191989 + ... + 24192011.

Almost surely, 2^556416000 is an apocalyptic number.

556416000 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 556416000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1226234880).

556416000 is an abundant number, since it is smaller than the sum of its proper divisors (1896053760).

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

556416000 is a wasteful number, since it uses less digits than its factorization.

556416000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 556416000 is about 23588.4717605868. The cubic root of 556416000 is about 822.4948802199.

The spelling of 556416000 in words is "five hundred fifty-six million, four hundred sixteen thousand".