1157664300 has 288 divisors, whose sum is σ = 4024742400. Its totient is φ = 253808640.

The previous prime is 1157664293. The next prime is 1157664337. The reversal of 1157664300 is 34667511.

1157664300 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1259241 + ... + 1260159.

It is an arithmetic number, because the mean of its divisors is an integer number (13974800).

Almost surely, 2^1157664300 is an apocalyptic number.

1157664300 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 1157664300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2012371200).

1157664300 is an abundant number, since it is smaller than the sum of its proper divisors (2867078100).

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

1157664300 is a wasteful number, since it uses less digits than its factorization.

1157664300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 985 (or 978 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 1157664300 is about 34024.4661971353. The cubic root of 1157664300 is about 1050.0118819517.

The spelling of 1157664300 in words is "one billion, one hundred fifty-seven million, six hundred sixty-four thousand, three hundred".