557395020 has 480 divisors, whose sum is σ = 2276736000. Its totient is φ = 110854656.

The previous prime is 557395019. The next prime is 557395057. The reversal of 557395020 is 20593755.

557395020 is a `hidden beast` number, since 557 + 39 + 50 + 20 = 666.

557395020 is nontrivially palindromic in base 8.

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

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2800881 + ... + 2801079.

It is an arithmetic number, because the mean of its divisors is an integer number (4743200).

Almost surely, 2^557395020 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 557395020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1138368000).

557395020 is an abundant number, since it is smaller than the sum of its proper divisors (1719340980).

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

557395020 is a wasteful number, since it uses less digits than its factorization.

557395020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 47250, while the sum is 36.

The square root of 557395020 is about 23609.2147264580. The cubic root of 557395020 is about 822.9769937963.

The spelling of 557395020 in words is "five hundred fifty-seven million, three hundred ninety-five thousand, twenty".