1153874304 has 384 divisors, whose sum is σ = 3918170880. Its totient is φ = 322375680.

The previous prime is 1153874297. The next prime is 1153874311. The reversal of 1153874304 is 4034783511.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1153874297) and next prime (1153874311).

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10783819 + ... + 10783925.

It is an arithmetic number, because the mean of its divisors is an integer number (10203570).

Almost surely, 2^1153874304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1153874304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1959085440).

1153874304 is an abundant number, since it is smaller than the sum of its proper divisors (2764296576).

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

1153874304 is a wasteful number, since it uses less digits than its factorization.

1153874304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 1153874304 is about 33968.7253808558. The cubic root of 1153874304 is about 1048.8647757977.

The spelling of 1153874304 in words is "one billion, one hundred fifty-three million, eight hundred seventy-four thousand, three hundred four".