1153946304 has 224 divisors, whose sum is σ = 4081881600. Its totient is φ = 312284160.

The previous prime is 1153946291. The next prime is 1153946329. The reversal of 1153946304 is 4036493511.

1153946304 is a `hidden beast` number, since 1 + 15 + 3 + 9 + 4 + 630 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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, 227314 + ... + 232334.

Almost surely, 2^1153946304 is an apocalyptic number.

1153946304 is a gapful number since it is divisible by the number (14) 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 1153946304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2040940800).

1153946304 is an abundant number, since it is smaller than the sum of its proper divisors (2927935296).

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

1153946304 is a wasteful number, since it uses less digits than its factorization.

1153946304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5068 (or 5052 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 1153946304 is about 33969.7851627001. The cubic root of 1153946304 is about 1048.8865911991.

The spelling of 1153946304 in words is "one billion, one hundred fifty-three million, nine hundred forty-six thousand, three hundred four".