557201920 has 160 divisors (see below), whose sum is σ = 1491975936. Its totient is φ = 197836800.

The previous prime is 557201903. The next prime is 557201921. The reversal of 557201920 is 29102755.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (557201921) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1323310 + ... + 1323730.

Almost surely, 2^557201920 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 557201920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (745987968).

557201920 is an abundant number, since it is smaller than the sum of its proper divisors (934774016).

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

557201920 is a wasteful number, since it uses less digits than its factorization.

557201920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 502 (or 486 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 31.

The square root of 557201920 is about 23605.1248672825. The cubic root of 557201920 is about 822.8819473710.

The spelling of 557201920 in words is "five hundred fifty-seven million, two hundred one thousand, nine hundred twenty".