1057470400 has 168 divisors, whose sum is σ = 2993379840. Its totient is φ = 360176640.

The previous prime is 1057470389. The next prime is 1057470443. The reversal of 1057470400 is 40747501.

It is a super-2 number, since 2×1057470400² = 2236487293752320000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2945421 + ... + 2945779.

Almost surely, 2^1057470400 is an apocalyptic number.

1057470400 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 1057470400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1496689920).

1057470400 is an abundant number, since it is smaller than the sum of its proper divisors (1935909440).

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

1057470400 is a wasteful number, since it uses less digits than its factorization.

1057470400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 651 (or 636 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 28.

The square root of 1057470400 is about 32518.7699644375. The cubic root of 1057470400 is about 1018.8011032365.

The spelling of 1057470400 in words is "one billion, fifty-seven million, four hundred seventy thousand, four hundred".