1157971200 has 216 divisors, whose sum is σ = 3917415936. Its totient is φ = 301056000.

The previous prime is 1157971147. The next prime is 1157971223. The reversal of 1157971200 is 21797511.

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, 786465 + ... + 787935.

Almost surely, 2^1157971200 is an apocalyptic number.

1157971200 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 1157971200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1958707968).

1157971200 is an abundant number, since it is smaller than the sum of its proper divisors (2759444736).

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

1157971200 is a wasteful number, since it uses less digits than its factorization.

1157971200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1541 (or 1522 counting only the distinct ones).

The product of its (nonzero) digits is 4410, while the sum is 33.

The square root of 1157971200 is about 34028.9758882045. The cubic root of 1157971200 is about 1050.1046607692.

The spelling of 1157971200 in words is "one billion, one hundred fifty-seven million, nine hundred seventy-one thousand, two hundred".