557418240 has 216 divisors, whose sum is σ = 1993758480. Its totient is φ = 147474432.

The previous prime is 557418227. The next prime is 557418269. The reversal of 557418240 is 42814755.

557418240 is a `hidden beast` number, since 5 + 574 + 1 + 82 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

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 = 557418195 and 557418204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4389057 + ... + 4389183.

Almost surely, 2^557418240 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 557418240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (996879240).

557418240 is an abundant number, since it is smaller than the sum of its proper divisors (1436340240).

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

557418240 is an equidigital number, since it uses as much as digits as its factorization.

557418240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 36.

The square root of 557418240 is about 23609.7064784804. The cubic root of 557418240 is about 822.9884215150.

The spelling of 557418240 in words is "five hundred fifty-seven million, four hundred eighteen thousand, two hundred forty".