556834824 has 480 divisors, whose sum is σ = 2085652800. Its totient is φ = 137168640.

The previous prime is 556834823. The next prime is 556834841. The reversal of 556834824 is 428438655.

556834824 is a `hidden beast` number, since 5 + 568 + 3 + 4 + 82 + 4 = 666.

It is a super-2 number, since 2×556834824² = 620130042438221952, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 556834824.

It is not an unprimeable number, because it can be changed into a prime (556834823) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 7842709 + ... + 7842779.

It is an arithmetic number, because the mean of its divisors is an integer number (4345110).

Almost surely, 2^556834824 is an apocalyptic number.

556834824 is a gapful number since it is divisible by the number (54) 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 556834824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1042826400).

556834824 is an abundant number, since it is smaller than the sum of its proper divisors (1528817976).

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

556834824 is a wasteful number, since it uses less digits than its factorization.

556834824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 115 counting only the distinct ones).

The product of its digits is 921600, while the sum is 45.

The square root of 556834824 is about 23597.3478170747. The cubic root of 556834824 is about 822.7011971960.

The spelling of 556834824 in words is "five hundred fifty-six million, eight hundred thirty-four thousand, eight hundred twenty-four".