1057970304 has 96 divisors (see below), whose sum is σ = 3126827340. Its totient is φ = 343111680.

The previous prime is 1057970269. The next prime is 1057970317. The reversal of 1057970304 is 4030797501.

It is a happy number.

1057970304 is a `hidden beast` number, since 10 + 579 + 70 + 3 + 0 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1057550400 + 419904 = 32520^2 + 648^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×1057970304² = 2238602328291704832, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30214 + ... + 55034.

Almost surely, 2^1057970304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1057970304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1563413670).

1057970304 is an abundant number, since it is smaller than the sum of its proper divisors (2068857036).

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

1057970304 is a wasteful number, since it uses less digits than its factorization.

1057970304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24878 (or 24863 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 36.

The square root of 1057970304 is about 32526.4554478351. The cubic root of 1057970304 is about 1018.9616191597.

The spelling of 1057970304 in words is "one billion, fifty-seven million, nine hundred seventy thousand, three hundred four".