1057684407 has 32 divisors (see below), whose sum is σ = 1547175168. Its totient is φ = 638808576.

The previous prime is 1057684379. The next prime is 1057684477. The reversal of 1057684407 is 7044867501.

It is not a de Polignac number, because 1057684407 - 2¹² = 1057680311 is a prime.

It is a super-2 number, since 2×1057684407² = 2237392609621883298, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1057684477) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 470428 + ... + 472670.

It is an arithmetic number, because the mean of its divisors is an integer number (48349224).

Almost surely, 2^1057684407 is an apocalyptic number.

1057684407 is a deficient number, since it is larger than the sum of its proper divisors (489490761).

1057684407 is a wasteful number, since it uses less digits than its factorization.

1057684407 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2479.

The product of its (nonzero) digits is 188160, while the sum is 42.

The square root of 1057684407 is about 32522.0603129630. The cubic root of 1057684407 is about 1018.8698256837.

The spelling of 1057684407 in words is "one billion, fifty-seven million, six hundred eighty-four thousand, four hundred seven".