1157490000 has 250 divisors, whose sum is σ = 4189229330. Its totient is φ = 308448000.

The previous prime is 1157489969. The next prime is 1157490007. The reversal of 1157490000 is 947511.

1157490000 is a `hidden beast` number, since 1 + 1 + 574 + 90 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 5 ways, for example, as 752514624 + 404975376 = 27432^2 + 20124^2 .

It is a tau number, because it is divible by the number of its divisors (250).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1157490007) by changing a digit.

It is a polite number, since it can be written in 49 ways as a sum of consecutive naturals, for example, 809286 + ... + 810714.

Almost surely, 2^1157490000 is an apocalyptic number.

1157490000 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 1157490000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2094614665).

1157490000 is an abundant number, since it is smaller than the sum of its proper divisors (3031739330).

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

1157490000 is an equidigital number, since it uses as much as digits as its factorization.

1157490000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1469 (or 1439 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The square root of 1157490000 is about 34021.9047085844. The cubic root of 1157490000 is about 1049.9591820867.

The spelling of 1157490000 in words is "one billion, one hundred fifty-seven million, four hundred ninety thousand".