1157649408 has 220 divisors, whose sum is σ = 3664776852. Its totient is φ = 362741760.

The previous prime is 1157649359. The next prime is 1157649413. The reversal of 1157649408 is 8049467511.

1157649408 is a `hidden beast` number, since 1 + 157 + 6 + 494 + 0 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 613453824 + 544195584 = 24768^2 + 23328^2 .

It is a zygodrome in base 3.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1409638 + ... + 1410458.

Almost surely, 2^1157649408 is an apocalyptic number.

1157649408 is a gapful number since it is divisible by the number (18) 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 1157649408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1832388426).

1157649408 is an abundant number, since it is smaller than the sum of its proper divisors (2507127444).

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

1157649408 is an equidigital number, since it uses as much as digits as its factorization.

1157649408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 870 (or 843 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 1157649408 is about 34024.2473539092. The cubic root of 1157649408 is about 1050.0073795400.

The spelling of 1157649408 in words is "one billion, one hundred fifty-seven million, six hundred forty-nine thousand, four hundred eight".