848800480 has 144 divisors (see below), whose sum is σ = 2334724560. Its totient is φ = 290385920.

The previous prime is 848800451. The next prime is 848800489. The reversal of 848800480 is 84008848.

848800480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (40) 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 (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (848800489) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 327831 + ... + 330409.

It is an arithmetic number, because the mean of its divisors is an integer number (16213365).

Almost surely, 2^848800480 is an apocalyptic number.

848800480 is a gapful number since it is divisible by the number (80) 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 848800480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1167362280).

848800480 is an abundant number, since it is smaller than the sum of its proper divisors (1485924080).

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

848800480 is a wasteful number, since it uses less digits than its factorization.

848800480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2633 (or 2614 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 40.

The square root of 848800480 is about 29134.1806131561. The cubic root of 848800480 is about 946.8224324348.

The spelling of 848800480 in words is "eight hundred forty-eight million, eight hundred thousand, four hundred eighty".