557251968 has 256 divisors, whose sum is σ = 1875363840. Its totient is φ = 142663680.

The previous prime is 557251913. The next prime is 557251979. The reversal of 557251968 is 869152755.

It is a happy number.

It is a super-3 number, since 3×557251968³ (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1292713 + ... + 1293143.

It is an arithmetic number, because the mean of its divisors is an integer number (7325640).

Almost surely, 2^557251968 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 557251968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (937681920).

557251968 is an abundant number, since it is smaller than the sum of its proper divisors (1318111872).

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

557251968 is a wasteful number, since it uses less digits than its factorization.

557251968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 505 (or 493 counting only the distinct ones).

The product of its digits is 756000, while the sum is 48.

The square root of 557251968 is about 23606.1849522535. The cubic root of 557251968 is about 822.9065837798.

The spelling of 557251968 in words is "five hundred fifty-seven million, two hundred fifty-one thousand, nine hundred sixty-eight".