1057404000 has 96 divisors (see below), whose sum is σ = 3464094816. Its totient is φ = 281971200.

The previous prime is 1057403999. The next prime is 1057404031. The reversal of 1057404000 is 4047501.

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

It is a super-2 number, since 2×1057404000² = 2236206438432000000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32059 + ... + 56058.

It is an arithmetic number, because the mean of its divisors is an integer number (36084321).

Almost surely, 2^1057404000 is an apocalyptic number.

1057404000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1057404000 is an abundant number, since it is smaller than the sum of its proper divisors (2406690816).

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

1057404000 is an equidigital number, since it uses as much as digits as its factorization.

1057404000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88145 (or 88127 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 21.

The square root of 1057404000 is about 32517.7489995848. The cubic root of 1057404000 is about 1018.7797788227.

The spelling of 1057404000 in words is "one billion, fifty-seven million, four hundred four thousand".