1153309920 has 384 divisors, whose sum is σ = 4481713152. Its totient is φ = 243302400.

The previous prime is 1153309919. The next prime is 1153310021. The reversal of 1153309920 is 299033511.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3484155 + ... + 3484485.

It is an arithmetic number, because the mean of its divisors is an integer number (11671128).

Almost surely, 2^1153309920 is an apocalyptic number.

1153309920 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 1153309920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2240856576).

1153309920 is an abundant number, since it is smaller than the sum of its proper divisors (3328403232).

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

1153309920 is a wasteful number, since it uses less digits than its factorization.

1153309920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 434 (or 426 counting only the distinct ones).

The product of its (nonzero) digits is 7290, while the sum is 33.

The square root of 1153309920 is about 33960.4169585710. The cubic root of 1153309920 is about 1048.6937406929.

It can be divided in two parts, 115330 and 9920, that added together give a triangular number (125250 = T₅₀₀).

The spelling of 1153309920 in words is "one billion, one hundred fifty-three million, three hundred nine thousand, nine hundred twenty".