1153306440 has 384 divisors, whose sum is σ = 4514590080. Its totient is φ = 251596800.

The previous prime is 1153306417. The next prime is 1153306493. The reversal of 1153306440 is 446033511.

1153306440 is a `hidden beast` number, since 1 + 15 + 3 + 3 + 0 + 644 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2213380 + ... + 2213900.

It is an arithmetic number, because the mean of its divisors is an integer number (11756745).

Almost surely, 2^1153306440 is an apocalyptic number.

1153306440 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 1153306440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2257295040).

1153306440 is an abundant number, since it is smaller than the sum of its proper divisors (3361283640).

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

1153306440 is a wasteful number, since it uses less digits than its factorization.

1153306440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 605 (or 598 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 1153306440 is about 33960.3657224124. The cubic root of 1153306440 is about 1048.6926859149.

Adding to 1153306440 its reverse (446033511), we get a palindrome (1599339951).

The spelling of 1153306440 in words is "one billion, one hundred fifty-three million, three hundred six thousand, four hundred forty".