557706240 has 792 divisors, whose sum is σ = 2548269360. Its totient is φ = 111476736.

The previous prime is 557706229. The next prime is 557706241. The reversal of 557706240 is 42607755.

557706240 is a `hidden beast` number, since 557 + 7 + 0 + 62 + 40 = 666.

It is a super-2 number, since 2×557706240² = 622072500269875200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 557706195 and 557706204.

It is not an unprimeable number, because it can be changed into a prime (557706241) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 29352951 + ... + 29352969.

Almost surely, 2^557706240 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 557706240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1274134680).

557706240 is an abundant number, since it is smaller than the sum of its proper divisors (1990563120).

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

557706240 is a wasteful number, since it uses less digits than its factorization.

557706240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 36.

The square root of 557706240 is about 23615.8048772427. The cubic root of 557706240 is about 823.1301342900.

The spelling of 557706240 in words is "five hundred fifty-seven million, seven hundred six thousand, two hundred forty".