557681280 has 128 divisors (see below), whose sum is σ = 1914433920. Its totient is φ = 137269248.

The previous prime is 557681263. The next prime is 557681287. The reversal of 557681280 is 82186755.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×557681280² = 622016820124876800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (557681287) 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 15 ways as a sum of consecutive naturals, for example, 13789 + ... + 36131.

It is an arithmetic number, because the mean of its divisors is an integer number (14956515).

Almost surely, 2^557681280 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 557681280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (957216960).

557681280 is an abundant number, since it is smaller than the sum of its proper divisors (1356752640).

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

557681280 is a wasteful number, since it uses less digits than its factorization.

557681280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22378 (or 22366 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 42.

The square root of 557681280 is about 23615.2764116789. The cubic root of 557681280 is about 823.1178544473.

The spelling of 557681280 in words is "five hundred fifty-seven million, six hundred eighty-one thousand, two hundred eighty".