1157990400 has 432 divisors, whose sum is σ = 4752820800. Its totient is φ = 263946240.

The previous prime is 1157990381. The next prime is 1157990417. The reversal of 1157990400 is 40997511.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3225421 + ... + 3225779.

It is an arithmetic number, because the mean of its divisors is an integer number (11001900).

Almost surely, 2^1157990400 is an apocalyptic number.

1157990400 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 1157990400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2376410400).

1157990400 is an abundant number, since it is smaller than the sum of its proper divisors (3594830400).

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

1157990400 is a wasteful number, since it uses less digits than its factorization.

1157990400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 36.

The square root of 1157990400 is about 34029.2579995509. The cubic root of 1157990400 is about 1050.1104645687.

The spelling of 1157990400 in words is "one billion, one hundred fifty-seven million, nine hundred ninety thousand, four hundred".