556398000 has 120 divisors (see below), whose sum is σ = 1943375616. Its totient is φ = 148368000.

The previous prime is 556397993. The next prime is 556398023. The reversal of 556398000 is 893655.

556398000 is a `hidden beast` number, since 5 + 563 + 98 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2545 + ... + 33455.

Almost surely, 2^556398000 is an apocalyptic number.

556398000 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 556398000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (971687808).

556398000 is an abundant number, since it is smaller than the sum of its proper divisors (1386977616).

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

556398000 is a wasteful number, since it uses less digits than its factorization.

556398000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30940 (or 30921 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 556398000 is about 23588.0902151912. The cubic root of 556398000 is about 822.4860109162.

The spelling of 556398000 in words is "five hundred fifty-six million, three hundred ninety-eight thousand".