9248910480 has 360 divisors, whose sum is σ = 32859807552. Its totient is φ = 2420326656.

The previous prime is 9248910467. The next prime is 9248910487. The reversal of 9248910480 is 840198429.

9248910480 is a `hidden beast` number, since 92 + 4 + 89 + 1 + 0 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (9248910487) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 35166829 + ... + 35167091.

Almost surely, 2^9248910480 is an apocalyptic number.

9248910480 is a gapful number since it is divisible by the number (90) 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 9248910480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16429903776).

9248910480 is an abundant number, since it is smaller than the sum of its proper divisors (23610897072).

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

9248910480 is an equidigital number, since it uses as much as digits as its factorization.

9248910480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 367 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The square root of 9248910480 is about 96171.2559967894. The cubic root of 9248910480 is about 2099.0858061630.

The spelling of 9248910480 in words is "nine billion, two hundred forty-eight million, nine hundred ten thousand, four hundred eighty".