556501440 has 224 divisors, whose sum is σ = 1945843200. Its totient is φ = 133632000.

The previous prime is 556501403. The next prime is 556501459. The reversal of 556501440 is 44105655.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 556501398 and 556501407.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1594386 + ... + 1594734.

It is an arithmetic number, because the mean of its divisors is an integer number (8686800).

Almost surely, 2^556501440 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 556501440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (972921600).

556501440 is an abundant number, since it is smaller than the sum of its proper divisors (1389341760).

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

556501440 is a wasteful number, since it uses less digits than its factorization.

556501440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 531 (or 521 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

The square root of 556501440 is about 23590.2827452322. The cubic root of 556501440 is about 822.5369772396.

The spelling of 556501440 in words is "five hundred fifty-six million, five hundred one thousand, four hundred forty".