556269840 has 480 divisors, whose sum is σ = 2322827520. Its totient is φ = 116453376.

The previous prime is 556269827. The next prime is 556269841. The reversal of 556269840 is 48962655.

556269840 is a `hidden beast` number, since 5 + 562 + 6 + 9 + 84 + 0 = 666.

It is a super-2 number, since 2×556269840² = 618872269787251200, 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 (556269841) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3543042 + ... + 3543198.

It is an arithmetic number, because the mean of its divisors is an integer number (4839224).

Almost surely, 2^556269840 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 556269840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1161413760).

556269840 is an abundant number, since it is smaller than the sum of its proper divisors (1766557680).

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

556269840 is a wasteful number, since it uses less digits than its factorization.

556269840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The square root of 556269840 is about 23585.3734335499. The cubic root of 556269840 is about 822.4228559435.

The spelling of 556269840 in words is "five hundred fifty-six million, two hundred sixty-nine thousand, eight hundred forty".