1057548432 has 80 divisors (see below), whose sum is σ = 2802999168. Its totient is φ = 343449600.

The previous prime is 1057548419. The next prime is 1057548433. The reversal of 1057548432 is 2348457501.

It is a super-2 number, since 2×1057548432² = 2236817372051317248, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1057548433) 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, 382768 + ... + 385520.

Almost surely, 2^1057548432 is an apocalyptic number.

1057548432 is a gapful number since it is divisible by the number (12) 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 1057548432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1401499584).

1057548432 is an abundant number, since it is smaller than the sum of its proper divisors (1745450736).

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

1057548432 is a wasteful number, since it uses less digits than its factorization.

1057548432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2968 (or 2962 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 39.

The square root of 1057548432 is about 32519.9697416833. The cubic root of 1057548432 is about 1018.8261621356.

The spelling of 1057548432 in words is "one billion, fifty-seven million, five hundred forty-eight thousand, four hundred thirty-two".