557396640 has 240 divisors, whose sum is σ = 2017045800. Its totient is φ = 144875520.

The previous prime is 557396639. The next prime is 557396669. The reversal of 557396640 is 46693755.

557396640 is a `hidden beast` number, since 557 + 3 + 96 + 6 + 4 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 425514384 + 131882256 = 20628^2 + 11484^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 39 ways as a sum of consecutive naturals, for example, 530836 + ... + 531884.

Almost surely, 2^557396640 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 557396640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1008522900).

557396640 is an abundant number, since it is smaller than the sum of its proper divisors (1459649160).

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

557396640 is a wasteful number, since it uses less digits than its factorization.

557396640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1117 (or 1100 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 45.

The square root of 557396640 is about 23609.2490350710. The cubic root of 557396640 is about 822.9777910893.

The spelling of 557396640 in words is "five hundred fifty-seven million, three hundred ninety-six thousand, six hundred forty".