1057059344 has 40 divisors (see below), whose sum is σ = 2245540800. Its totient is φ = 478051200.

The previous prime is 1057059317. The next prime is 1057059347. The reversal of 1057059344 is 4439507501.

It is a super-3 number, since 3×1057059344³ (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 1057059298 and 1057059307.

It is not an unprimeable number, because it can be changed into a prime (1057059347) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19934 + ... + 50114.

It is an arithmetic number, because the mean of its divisors is an integer number (56138520).

Almost surely, 2^1057059344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1057059344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1122770400).

1057059344 is an abundant number, since it is smaller than the sum of its proper divisors (1188481456).

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

1057059344 is a wasteful number, since it uses less digits than its factorization.

1057059344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30399 (or 30393 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 38.

The square root of 1057059344 is about 32512.4490618594. The cubic root of 1057059344 is about 1018.6690779237.

The spelling of 1057059344 in words is "one billion, fifty-seven million, fifty-nine thousand, three hundred forty-four".