557774400 has 168 divisors, whose sum is σ = 1893539520. Its totient is φ = 143575040.

The previous prime is 557774381. The next prime is 557774401. The reversal of 557774400 is 4477755.

It is a super-2 number, since 2×557774400² = 622224562590720000, which contains 22 as substring.

It is a zygodrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (557774401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 137197 + ... + 141203.

Almost surely, 2^557774400 is an apocalyptic number.

557774400 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 557774400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (946769760).

557774400 is an abundant number, since it is smaller than the sum of its proper divisors (1335765120).

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

557774400 is a wasteful number, since it uses less digits than its factorization.

557774400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4061 (or 4046 counting only the distinct ones).

The product of its (nonzero) digits is 137200, while the sum is 39.

The square root of 557774400 is about 23617.2479345075. The cubic root of 557774400 is about 823.1636658402.

The spelling of 557774400 in words is "five hundred fifty-seven million, seven hundred seventy-four thousand, four hundred".