1057480704 has 224 divisors, whose sum is σ = 3585911040. Its totient is φ = 301694976.

The previous prime is 1057480691. The next prime is 1057480741. The reversal of 1057480704 is 4070847501.

1057480704 is a `hidden beast` number, since 1 + 0 + 574 + 80 + 7 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×1057480704² = 2236530878664671232, which contains 22 as substring.

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

It is a zygodrome in base 2.

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, 1547947 + ... + 1548629.

Almost surely, 2^1057480704 is an apocalyptic number.

1057480704 is a gapful number since it is divisible by the number (14) 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 1057480704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1792955520).

1057480704 is an abundant number, since it is smaller than the sum of its proper divisors (2528430336).

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

1057480704 is an frugal number, since it uses more digits than its factorization.

1057480704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 725 (or 695 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 36.

The square root of 1057480704 is about 32518.9283956283. The cubic root of 1057480704 is about 1018.8044122944.

The spelling of 1057480704 in words is "one billion, fifty-seven million, four hundred eighty thousand, seven hundred four".