182220480 has 336 divisors, whose sum is σ = 701186304. Its totient is φ = 43130880.

The previous prime is 182220443. The next prime is 182220491. The reversal of 182220480 is 84022281.

182220480 is a `hidden beast` number, since 182 + 2 + 2 + 0 + 480 = 666.

182220480 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1160562 + ... + 1160718.

It is an arithmetic number, because the mean of its divisors is an integer number (2086864).

Almost surely, 2^182220480 is an apocalyptic number.

182220480 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 182220480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350593152).

182220480 is an abundant number, since it is smaller than the sum of its proper divisors (518965824).

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

182220480 is a wasteful number, since it uses less digits than its factorization.

182220480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 182220480 is about 13498.9066223898. The cubic root of 182220480 is about 566.9338593846.

The spelling of 182220480 in words is "one hundred eighty-two million, two hundred twenty thousand, four hundred eighty".