1057458900 has 72 divisors (see below), whose sum is σ = 3165109920. Its totient is φ = 272263040.

The previous prime is 1057458893. The next prime is 1057458901. The reversal of 1057458900 is 98547501.

It is a super-2 number, since 2×1057458900² = 2236438650378420000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1057458901) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52074 + ... + 69473.

It is an arithmetic number, because the mean of its divisors is an integer number (43959860).

Almost surely, 2^1057458900 is an apocalyptic number.

1057458900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1057458900 is an abundant number, since it is smaller than the sum of its proper divisors (2107651020).

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

1057458900 is a wasteful number, since it uses less digits than its factorization.

1057458900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121593 (or 121586 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 39.

The square root of 1057458900 is about 32518.5931430005. The cubic root of 1057458900 is about 1018.7974100661.

The spelling of 1057458900 in words is "one billion, fifty-seven million, four hundred fifty-eight thousand, nine hundred".