556794810 has 480 divisors, whose sum is σ = 1946609280. Its totient is φ = 112907520.

The previous prime is 556794803. The next prime is 556794817. The reversal of 556794810 is 18497655.

556794810 is a `hidden beast` number, since 5 + 567 + 9 + 4 + 81 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (556794803) and next prime (556794817).

It is a super-2 number, since 2×556794810² = 620040920885872200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (556794817) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 24208459 + ... + 24208481.

It is an arithmetic number, because the mean of its divisors is an integer number (4055436).

Almost surely, 2^556794810 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 556794810, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (973304640).

556794810 is an abundant number, since it is smaller than the sum of its proper divisors (1389814470).

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

556794810 is a wasteful number, since it uses less digits than its factorization.

556794810 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The square root of 556794810 is about 23596.4999523234. The cubic root of 556794810 is about 822.6814903620.

The spelling of 556794810 in words is "five hundred fifty-six million, seven hundred ninety-four thousand, eight hundred ten".