1057149600 has 288 divisors, whose sum is σ = 3828754944. Its totient is φ = 251596800.

The previous prime is 1057149593. The next prime is 1057149623. The reversal of 1057149600 is 69417501.

It is a super-2 number, since 2×1057149600² = 2235130553560320000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 966654 + ... + 967746.

It is an arithmetic number, because the mean of its divisors is an integer number (13294288).

Almost surely, 2^1057149600 is an apocalyptic number.

1057149600 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 1057149600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1914377472).

1057149600 is an abundant number, since it is smaller than the sum of its proper divisors (2771605344).

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

1057149600 is a wasteful number, since it uses less digits than its factorization.

1057149600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1160 (or 1147 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 33.

The square root of 1057149600 is about 32513.8370543989. The cubic root of 1057149600 is about 1018.6980697932.

The spelling of 1057149600 in words is "one billion, fifty-seven million, one hundred forty-nine thousand, six hundred".