557003040 has 384 divisors, whose sum is σ = 2048385024. Its totient is φ = 125952000.

The previous prime is 557003033. The next prime is 557003053. The reversal of 557003040 is 40300755.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 557003040.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6710839 + ... + 6710921.

It is an arithmetic number, because the mean of its divisors is an integer number (5334336).

Almost surely, 2^557003040 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 557003040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1024192512).

557003040 is an abundant number, since it is smaller than the sum of its proper divisors (1491381984).

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

557003040 is a wasteful number, since it uses less digits than its factorization.

557003040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 24.

The square root of 557003040 is about 23600.9118467910. The cubic root of 557003040 is about 822.7840329941.

Adding to 557003040 its reverse (40300755), we get a palindrome (597303795).

The spelling of 557003040 in words is "five hundred fifty-seven million, three thousand, forty".