1149794880 has 336 divisors, whose sum is σ = 4172224320. Its totient is φ = 267411456.

The previous prime is 1149794843. The next prime is 1149794897. The reversal of 1149794880 is 884979411.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3082374 + ... + 3082746.

Almost surely, 2^1149794880 is an apocalyptic number.

1149794880 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 1149794880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2086112160).

1149794880 is an abundant number, since it is smaller than the sum of its proper divisors (3022429440).

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

1149794880 is a wasteful number, since it uses less digits than its factorization.

1149794880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 438 (or 415 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 51.

The square root of 1149794880 is about 33908.6254513509. The cubic root of 1149794880 is about 1047.6272590095.

The spelling of 1149794880 in words is "one billion, one hundred forty-nine million, seven hundred ninety-four thousand, eight hundred eighty".