1149448320 has 384 divisors, whose sum is σ = 4343976000. Its totient is φ = 289640448.

The previous prime is 1149448303. The next prime is 1149448343. The reversal of 1149448320 is 238449411.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

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 47 ways as a sum of consecutive naturals, for example, 2954686 + ... + 2955074.

Almost surely, 2^1149448320 is an apocalyptic number.

1149448320 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 1149448320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2171988000).

1149448320 is an abundant number, since it is smaller than the sum of its proper divisors (3194527680).

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

1149448320 is an equidigital number, since it uses as much as digits as its factorization.

1149448320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 442 (or 418 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 1149448320 is about 33903.5148620316. The cubic root of 1149448320 is about 1047.5219932232.

The spelling of 1149448320 in words is "one billion, one hundred forty-nine million, four hundred forty-eight thousand, three hundred twenty".