1157425920 has 432 divisors, whose sum is σ = 4734492672. Its totient is φ = 255467520.

The previous prime is 1157425853. The next prime is 1157425961. The reversal of 1157425920 is 295247511.

1157425920 is a `hidden beast` number, since 11 + 57 + 4 + 2 + 592 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2499609 + ... + 2500071.

Almost surely, 2^1157425920 is an apocalyptic number.

1157425920 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 1157425920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2367246336).

1157425920 is an abundant number, since it is smaller than the sum of its proper divisors (3577066752).

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

1157425920 is a wasteful number, since it uses less digits than its factorization.

1157425920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 528 (or 511 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The square root of 1157425920 is about 34020.9629493346. The cubic root of 1157425920 is about 1049.9398060731.

The spelling of 1157425920 in words is "one billion, one hundred fifty-seven million, four hundred twenty-five thousand, nine hundred twenty".