1157429312 has 56 divisors (see below), whose sum is σ = 2483531736. Its totient is φ = 532021248.

The previous prime is 1157429279. The next prime is 1157429321. The reversal of 1157429312 is 2139247511.

It can be written as a sum of positive squares in 4 ways, for example, as 157351936 + 1000077376 = 12544^2 + 31624^2 .

It is a super-2 number, since 2×1157429312² = 2679285224553586688, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 211118 + ... + 216530.

It is an arithmetic number, because the mean of its divisors is an integer number (44348781).

Almost surely, 2^1157429312 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 1157429312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1241765868).

1157429312 is an abundant number, since it is smaller than the sum of its proper divisors (1326102424).

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

1157429312 is a wasteful number, since it uses less digits than its factorization.

1157429312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5695 (or 5685 counting only the distinct ones).

The product of its digits is 15120, while the sum is 35.

The square root of 1157429312 is about 34021.0128009147. The cubic root of 1157429312 is about 1049.9408317377.

The spelling of 1157429312 in words is "one billion, one hundred fifty-seven million, four hundred twenty-nine thousand, three hundred twelve".