557769240 has 160 divisors (see below), whose sum is σ = 2142629280. Its totient is φ = 127484928.

The previous prime is 557769221. The next prime is 557769271. The reversal of 557769240 is 42967755.

557769240 is a `hidden beast` number, since 557 + 7 + 6 + 92 + 4 + 0 = 666.

It is a super-2 number, since 2×557769240² = 622213050180355200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 10384 + ... + 34976.

It is an arithmetic number, because the mean of its divisors is an integer number (13391433).

Almost surely, 2^557769240 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 557769240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1071314640).

557769240 is an abundant number, since it is smaller than the sum of its proper divisors (1584860040).

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

557769240 is a wasteful number, since it uses less digits than its factorization.

557769240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24623 (or 24610 counting only the distinct ones).

The product of its (nonzero) digits is 529200, while the sum is 45.

The square root of 557769240 is about 23617.1386920601. The cubic root of 557769240 is about 823.1611274558.

It can be divided in two parts, 557769 and 240, that added together give a square (558009 = 747²).

The spelling of 557769240 in words is "five hundred fifty-seven million, seven hundred sixty-nine thousand, two hundred forty".