981824480 has 96 divisors (see below), whose sum is σ = 2854885824. Its totient is φ = 310726656.

The previous prime is 981824479. The next prime is 981824521. The reversal of 981824480 is 84428189.

It is a happy number.

981824480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19157 + ... + 48276.

It is an arithmetic number, because the mean of its divisors is an integer number (29738394).

Almost surely, 2^981824480 is an apocalyptic number.

It is an amenable number.

981824480 is an abundant number, since it is smaller than the sum of its proper divisors (1873061344).

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

981824480 is a wasteful number, since it uses less digits than its factorization.

981824480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67468 (or 67460 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 44.

The square root of 981824480 is about 31334.0785726978. The cubic root of 981824480 is about 993.9044126444.

The spelling of 981824480 in words is "nine hundred eighty-one million, eight hundred twenty-four thousand, four hundred eighty".