556769400 has 144 divisors (see below), whose sum is σ = 1897404600. Its totient is φ = 134956800.

The previous prime is 556769383. The next prime is 556769401. The reversal of 556769400 is 4967655.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (556769401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 68766 + ... + 76434.

Almost surely, 2^556769400 is an apocalyptic number.

556769400 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 556769400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (948702300).

556769400 is an abundant number, since it is smaller than the sum of its proper divisors (1340635200).

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

556769400 is a wasteful number, since it uses less digits than its factorization.

556769400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7710 (or 7690 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 42.

The square root of 556769400 is about 23595.9615188701. The cubic root of 556769400 is about 822.6689754856.

The spelling of 556769400 in words is "five hundred fifty-six million, seven hundred sixty-nine thousand, four hundred".