1157253840 has 120 divisors (see below), whose sum is σ = 3976932960. Its totient is φ = 301416192.

The previous prime is 1157253829. The next prime is 1157253863. The reversal of 1157253840 is 483527511.

1157253840 is a `hidden beast` number, since 1 + 1 + 572 + 5 + 3 + 84 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1157253795 and 1157253804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12271 + ... + 49649.

It is an arithmetic number, because the mean of its divisors is an integer number (33141108).

Almost surely, 2^1157253840 is an apocalyptic number.

1157253840 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 1157253840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1988466480).

1157253840 is an abundant number, since it is smaller than the sum of its proper divisors (2819679120).

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

1157253840 is a wasteful number, since it uses less digits than its factorization.

1157253840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37441 (or 37432 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 1157253840 is about 34018.4338263830. The cubic root of 1157253840 is about 1049.8877703176.

The spelling of 1157253840 in words is "one billion, one hundred fifty-seven million, two hundred fifty-three thousand, eight hundred forty".