1057372800 has 768 divisors, whose sum is σ = 4371148800. Its totient is φ = 221184000.

The previous prime is 1057372793. The next prime is 1057372867. The reversal of 1057372800 is 82737501.

It is a super-2 number, since 2×1057372800² = 2236074476359680000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

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 95 ways as a sum of consecutive naturals, for example, 34108785 + ... + 34108815.

It is an arithmetic number, because the mean of its divisors is an integer number (5691600).

Almost surely, 2^1057372800 is an apocalyptic number.

1057372800 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 1057372800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2185574400).

1057372800 is an abundant number, since it is smaller than the sum of its proper divisors (3313776000).

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

1057372800 is a wasteful number, since it uses less digits than its factorization.

1057372800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 33.

The square root of 1057372800 is about 32517.2692580419. The cubic root of 1057372800 is about 1018.7697586091.

The spelling of 1057372800 in words is "one billion, fifty-seven million, three hundred seventy-two thousand, eight hundred".