556405512 has 128 divisors (see below), whose sum is σ = 1655458560. Its totient is φ = 154091520.

The previous prime is 556405511. The next prime is 556405537. The reversal of 556405512 is 215504655.

It is a super-4 number, since 4×556405512⁴ (a number of 36 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (556405511) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 119712 + ... + 124272.

It is an arithmetic number, because the mean of its divisors is an integer number (12933270).

Almost surely, 2^556405512 is an apocalyptic number.

556405512 is a gapful number since it is divisible by the number (52) 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 556405512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (827729280).

556405512 is an abundant number, since it is smaller than the sum of its proper divisors (1099053048).

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

556405512 is a wasteful number, since it uses less digits than its factorization.

556405512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4623 (or 4619 counting only the distinct ones).

The product of its (nonzero) digits is 30000, while the sum is 33.

The square root of 556405512 is about 23588.2494475533. The cubic root of 556405512 is about 822.4897123955.

The spelling of 556405512 in words is "five hundred fifty-six million, four hundred five thousand, five hundred twelve".