1057264440 has 64 divisors (see below), whose sum is σ = 3189382560. Its totient is φ = 280373760.

The previous prime is 1057264433. The next prime is 1057264447. The reversal of 1057264440 is 444627501.

It is an interprime number because it is at equal distance from previous prime (1057264433) and next prime (1057264447).

It is a super-2 number, since 2×1057264440² = 2235616192177027200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1057264447) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2619 + ... + 46058.

Almost surely, 2^1057264440 is an apocalyptic number.

1057264440 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 1057264440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1594691280).

1057264440 is an abundant number, since it is smaller than the sum of its proper divisors (2132118120).

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

1057264440 is a wasteful number, since it uses less digits than its factorization.

1057264440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48872 (or 48868 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 33.

The square root of 1057264440 is about 32515.6030237792. The cubic root of 1057264440 is about 1018.7349561054.

The spelling of 1057264440 in words is "one billion, fifty-seven million, two hundred sixty-four thousand, four hundred forty".