1149972480 has 312 divisors, whose sum is σ = 4232060352. Its totient is φ = 287834112.

The previous prime is 1149972449. The next prime is 1149972487. The reversal of 1149972480 is 842799411.

It is a happy number.

1149972480 is a `hidden beast` number, since 1 + 14 + 99 + 72 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (1149972487) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3133257 + ... + 3133623.

It is an arithmetic number, because the mean of its divisors is an integer number (13564296).

Almost surely, 2^1149972480 is an apocalyptic number.

1149972480 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 1149972480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2116030176).

1149972480 is an abundant number, since it is smaller than the sum of its proper divisors (3082087872).

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

1149972480 is a wasteful number, since it uses less digits than its factorization.

1149972480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 419 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 1149972480 is about 33911.2441529355. The cubic root of 1149972480 is about 1047.6811958828.

The spelling of 1149972480 in words is "one billion, one hundred forty-nine million, nine hundred seventy-two thousand, four hundred eighty".