1157846400 has 288 divisors, whose sum is σ = 4287355800. Its totient is φ = 308551680.

The previous prime is 1157846359. The next prime is 1157846531. The reversal of 1157846400 is 46487511.

It is a happy number.

1157846400 is a `hidden beast` number, since 1 + 1 + 5 + 7 + 8 + 4 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 776856 + ... + 778344.

Almost surely, 2^1157846400 is an apocalyptic number.

1157846400 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 1157846400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2143677900).

1157846400 is an abundant number, since it is smaller than the sum of its proper divisors (3129509400).

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

1157846400 is an equidigital number, since it uses as much as digits as its factorization.

1157846400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1528 (or 1499 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 1157846400 is about 34027.1421074412. The cubic root of 1157846400 is about 1050.0669345085.

The spelling of 1157846400 in words is "one billion, one hundred fifty-seven million, eight hundred forty-six thousand, four hundred".