1149051480 has 128 divisors (see below), whose sum is σ = 3608409600. Its totient is φ = 292718976.

The previous prime is 1149051479. The next prime is 1149051481. The reversal of 1149051480 is 841509411.

It is an interprime number because it is at equal distance from previous prime (1149051479) and next prime (1149051481).

It is a super-3 number, since 3×1149051480³ (a number of 28 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1149051481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1459647 + ... + 1460433.

It is an arithmetic number, because the mean of its divisors is an integer number (28190700).

Almost surely, 2^1149051480 is an apocalyptic number.

1149051480 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 1149051480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1804204800).

1149051480 is an abundant number, since it is smaller than the sum of its proper divisors (2459358120).

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

1149051480 is an equidigital number, since it uses as much as digits as its factorization.

1149051480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 870 (or 820 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 33.

The square root of 1149051480 is about 33897.6618662704. The cubic root of 1149051480 is about 1047.4014291611.

The spelling of 1149051480 in words is "one billion, one hundred forty-nine million, fifty-one thousand, four hundred eighty".