1057075200 has 468 divisors, whose sum is σ = 4013983168. Its totient is φ = 265420800.

The previous prime is 1057075199. The next prime is 1057075219. The reversal of 1057075200 is 25707501.

1057075200 is a `hidden beast` number, since 1 + 0 + 570 + 75 + 20 + 0 = 666.

It is a super-2 number, since 2×1057075200² = 2234815956910080000, which contains 22 as substring.

It is a zygodrome in base 8.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 28569582 + ... + 28569618.

Almost surely, 2^1057075200 is an apocalyptic number.

1057075200 is a gapful number since it is divisible by the number (10) 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 1057075200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2006991584).

1057075200 is an abundant number, since it is smaller than the sum of its proper divisors (2956907968).

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

1057075200 is a wasteful number, since it uses less digits than its factorization.

1057075200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 2450, while the sum is 27.

The square root of 1057075200 is about 32512.6929060021. The cubic root of 1057075200 is about 1018.6741712790.

The spelling of 1057075200 in words is "one billion, fifty-seven million, seventy-five thousand, two hundred".