557414400 has 288 divisors, whose sum is σ = 1949875200. Its totient is φ = 140083200.

The previous prime is 557414371. The next prime is 557414447. The reversal of 557414400 is 4414755.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2918305 + ... + 2918495.

It is an arithmetic number, because the mean of its divisors is an integer number (6770400).

Almost surely, 2^557414400 is an apocalyptic number.

557414400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 557414400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (974937600).

557414400 is an abundant number, since it is smaller than the sum of its proper divisors (1392460800).

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

557414400 is a wasteful number, since it uses less digits than its factorization.

557414400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 11200, while the sum is 30.

The square root of 557414400 is about 23609.6251558554. The cubic root of 557414400 is about 822.9865316816.

The spelling of 557414400 in words is "five hundred fifty-seven million, four hundred fourteen thousand, four hundred".