1157430600 has 384 divisors, whose sum is σ = 4352400000. Its totient is φ = 281594880.

The previous prime is 1157430557. The next prime is 1157430607. The reversal of 1157430600 is 60347511.

1157430600 is a `hidden beast` number, since 1 + 1 + 57 + 4 + 3 + 0 + 600 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (1157430607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2975206 + ... + 2975594.

It is an arithmetic number, because the mean of its divisors is an integer number (11334375).

Almost surely, 2^1157430600 is an apocalyptic number.

1157430600 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 1157430600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2176200000).

1157430600 is an abundant number, since it is smaller than the sum of its proper divisors (3194969400).

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

1157430600 is a wasteful number, since it uses less digits than its factorization.

1157430600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 462 (or 447 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 1157430600 is about 34021.0317303870. The cubic root of 1157430600 is about 1049.9412211994.

The spelling of 1157430600 in words is "one billion, one hundred fifty-seven million, four hundred thirty thousand, six hundred".