1057598480 has 80 divisors (see below), whose sum is σ = 2580215808. Its totient is φ = 402624000.

The previous prime is 1057598471. The next prime is 1057598483. The reversal of 1057598480 is 848957501.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×1057598480² = 2237029089796620800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1057598483) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 147785 + ... + 154775.

Almost surely, 2^1057598480 is an apocalyptic number.

1057598480 is a gapful number since it is divisible by the number (10) 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 1057598480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1290107904).

1057598480 is an abundant number, since it is smaller than the sum of its proper divisors (1522617328).

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

1057598480 is a wasteful number, since it uses less digits than its factorization.

1057598480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7096 (or 7090 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 47.

The square root of 1057598480 is about 32520.7392289905. The cubic root of 1057598480 is about 1018.8422337108.

The spelling of 1057598480 in words is "one billion, fifty-seven million, five hundred ninety-eight thousand, four hundred eighty".