557552352 has 192 divisors, whose sum is σ = 1734082560. Its totient is φ = 153570816.

The previous prime is 557552341. The next prime is 557552353. The reversal of 557552352 is 253255755.

It is a self number, because there is not a number n which added to its sum of digits gives 557552352.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (557552353) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 4011099 + ... + 4011237.

It is an arithmetic number, because the mean of its divisors is an integer number (9031680).

Almost surely, 2^557552352 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 557552352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (867041280).

557552352 is an abundant number, since it is smaller than the sum of its proper divisors (1176530208).

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

557552352 is a wasteful number, since it uses less digits than its factorization.

557552352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333 (or 325 counting only the distinct ones).

The product of its digits is 262500, while the sum is 39.

The square root of 557552352 is about 23612.5464954545. The cubic root of 557552352 is about 823.0544185018.

The spelling of 557552352 in words is "five hundred fifty-seven million, five hundred fifty-two thousand, three hundred fifty-two".