1153419264 has 240 divisors, whose sum is σ = 3656753100. Its totient is φ = 360972288.

The previous prime is 1153419251. The next prime is 1153419277. The reversal of 1153419264 is 4629143511.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1153419251) and next prime (1153419277).

It can be written as a sum of positive squares in 2 ways, for example, as 985457664 + 167961600 = 31392^2 + 12960^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2819892 + ... + 2820300.

Almost surely, 2^1153419264 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 1153419264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1828376550).

1153419264 is an abundant number, since it is smaller than the sum of its proper divisors (2503333836).

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

1153419264 is an equidigital number, since it uses as much as digits as its factorization.

1153419264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 460 (or 431 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 1153419264 is about 33962.0267946423. The cubic root of 1153419264 is about 1048.7268814653.

The spelling of 1153419264 in words is "one billion, one hundred fifty-three million, four hundred nineteen thousand, two hundred sixty-four".