1152400520 has 64 divisors (see below), whose sum is σ = 2719802880. Its totient is φ = 438932736.

The previous prime is 1152400519. The next prime is 1152400537. The reversal of 1152400520 is 250042511.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1152400492 and 1152400501.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61277 + ... + 77843.

It is an arithmetic number, because the mean of its divisors is an integer number (42496920).

Almost surely, 2^1152400520 is an apocalyptic number.

1152400520 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 1152400520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1359901440).

1152400520 is an abundant number, since it is smaller than the sum of its proper divisors (1567402360).

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

1152400520 is a wasteful number, since it uses less digits than its factorization.

1152400520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16662 (or 16658 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 20.

The square root of 1152400520 is about 33947.0252010393. The cubic root of 1152400520 is about 1048.4180319568.

The spelling of 1152400520 in words is "one billion, one hundred fifty-two million, four hundred thousand, five hundred twenty".