1157920400 has 180 divisors, whose sum is σ = 3444100992. Its totient is φ = 366312960.

The previous prime is 1157920367. The next prime is 1157920403. The reversal of 1157920400 is 40297511.

It is not an unprimeable number, because it can be changed into a prime (1157920403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 471977 + ... + 474423.

Almost surely, 2^1157920400 is an apocalyptic number.

1157920400 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 1157920400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1722050496).

1157920400 is an abundant number, since it is smaller than the sum of its proper divisors (2286180592).

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

1157920400 is a wasteful number, since it uses less digits than its factorization.

1157920400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2498 (or 2474 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 29.

The square root of 1157920400 is about 34028.2294573197. The cubic root of 1157920400 is about 1050.0893045736.

The spelling of 1157920400 in words is "one billion, one hundred fifty-seven million, nine hundred twenty thousand, four hundred".