1057680484 has 81 divisors (see below), whose sum is σ = 2273326041. Its totient is φ = 429290400.

The previous prime is 1057680451. The next prime is 1057680487. The reversal of 1057680484 is 4840867501.

The square root of 1057680484 is 32522.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1016206884 + 41473600 = 31878^2 + 6440^2 .

It is a super-2 number, since 2×1057680484² = 2237376012468948512, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1057680484.

It is not an unprimeable number, because it can be changed into a prime (1057680487) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 10472034 + ... + 10472134.

Almost surely, 2^1057680484 is an apocalyptic number.

1057680484 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

1057680484 is the 32522-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1057680484

1057680484 is an abundant number, since it is smaller than the sum of its proper divisors (1215645557).

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

1057680484 is a wasteful number, since it uses less digits than its factorization.

1057680484 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 43.

The cubic root of 1057680484 is about 1018.8685660038.

The spelling of 1057680484 in words is "one billion, fifty-seven million, six hundred eighty thousand, four hundred eighty-four".