556272420 has 192 divisors, whose sum is σ = 1774386432. Its totient is φ = 129024000.

The previous prime is 556272407. The next prime is 556272421. The reversal of 556272420 is 24272655.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (556272421) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1650492 + ... + 1650828.

It is an arithmetic number, because the mean of its divisors is an integer number (9241596).

Almost surely, 2^556272420 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 556272420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (887193216).

556272420 is an abundant number, since it is smaller than the sum of its proper divisors (1218114012).

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

556272420 is a wasteful number, since it uses less digits than its factorization.

556272420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 462 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 33.

The square root of 556272420 is about 23585.4281284017. The cubic root of 556272420 is about 822.4241274174.

The spelling of 556272420 in words is "five hundred fifty-six million, two hundred seventy-two thousand, four hundred twenty".