556826000 has 40 divisors (see below), whose sum is σ = 1346410104. Its totient is φ = 222729600.

The previous prime is 556825991. The next prime is 556826051. The reversal of 556826000 is 628655.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 620944 + 556205056 = 788^2 + 23584^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 137207 + ... + 141206.

Almost surely, 2^556826000 is an apocalyptic number.

556826000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

556826000 is an abundant number, since it is smaller than the sum of its proper divisors (789584104).

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

556826000 is a wasteful number, since it uses less digits than its factorization.

556826000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278436 (or 278420 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 32.

The square root of 556826000 is about 23597.1608461696. The cubic root of 556826000 is about 822.6968514706.

The spelling of 556826000 in words is "five hundred fifty-six million, eight hundred twenty-six thousand".