557761920 has 128 divisors (see below), whose sum is σ = 1835412480. Its totient is φ = 143923200.

The previous prime is 557761913. The next prime is 557761943. The reversal of 557761920 is 29167755.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×557761920² = 622196718804172800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54835 + ... + 64205.

It is an arithmetic number, because the mean of its divisors is an integer number (14339160).

Almost surely, 2^557761920 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 557761920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (917706240).

557761920 is an abundant number, since it is smaller than the sum of its proper divisors (1277650560).

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

557761920 is a wasteful number, since it uses less digits than its factorization.

557761920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9424 (or 9412 counting only the distinct ones).

The product of its (nonzero) digits is 132300, while the sum is 42.

The square root of 557761920 is about 23616.9837193491. The cubic root of 557761920 is about 823.1575264649.

The spelling of 557761920 in words is "five hundred fifty-seven million, seven hundred sixty-one thousand, nine hundred twenty".