1152491520 has 224 divisors, whose sum is σ = 3765206592. Its totient is φ = 300941312.

The previous prime is 1152491479. The next prime is 1152491533. The reversal of 1152491520 is 251942511.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10198984 + ... + 10199096.

It is an arithmetic number, because the mean of its divisors is an integer number (16808958).

Almost surely, 2^1152491520 is an apocalyptic number.

1152491520 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 1152491520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1882603296).

1152491520 is an abundant number, since it is smaller than the sum of its proper divisors (2612715072).

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

1152491520 is an equidigital number, since it uses as much as digits as its factorization.

1152491520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 30.

The square root of 1152491520 is about 33948.3654982092. The cubic root of 1152491520 is about 1048.4456275505.

The spelling of 1152491520 in words is "one billion, one hundred fifty-two million, four hundred ninety-one thousand, five hundred twenty".