1153208448 has 256 divisors, whose sum is σ = 3949113600. Its totient is φ = 324476928.

The previous prime is 1153208437. The next prime is 1153208471. The reversal of 1153208448 is 8448023511.

1153208448 is a `hidden beast` number, since 1 + 1 + 5 + 3 + 208 + 448 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 31 ways as a sum of consecutive naturals, for example, 1765690 + ... + 1766342.

It is an arithmetic number, because the mean of its divisors is an integer number (15426225).

Almost surely, 2^1153208448 is an apocalyptic number.

1153208448 is a gapful number since it is divisible by the number (18) 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 1153208448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1974556800).

1153208448 is an abundant number, since it is smaller than the sum of its proper divisors (2795905152).

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

1153208448 is an equidigital number, since it uses as much as digits as its factorization.

1153208448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 756 (or 738 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 1153208448 is about 33958.9229511185. The cubic root of 1153208448 is about 1048.6629839494.

The spelling of 1153208448 in words is "one billion, one hundred fifty-three million, two hundred eight thousand, four hundred forty-eight".