556901280 has 288 divisors, whose sum is σ = 2080391040. Its totient is φ = 134830080.

The previous prime is 556901251. The next prime is 556901287. The reversal of 556901280 is 82109655.

It is a happy number.

556901280 is a `hidden beast` number, since 5 + 569 + 0 + 12 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (556901287) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1328911 + ... + 1329329.

It is an arithmetic number, because the mean of its divisors is an integer number (7223580).

Almost surely, 2^556901280 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 556901280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1040195520).

556901280 is an abundant number, since it is smaller than the sum of its proper divisors (1523489760).

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

556901280 is a wasteful number, since it uses less digits than its factorization.

556901280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 524 (or 513 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The square root of 556901280 is about 23598.7558994113. The cubic root of 556901280 is about 822.7339245887.

The spelling of 556901280 in words is "five hundred fifty-six million, nine hundred one thousand, two hundred eighty".