164800480 has 48 divisors (see below), whose sum is σ = 419295744. Its totient is φ = 60848640.

The previous prime is 164800477. The next prime is 164800481. The reversal of 164800480 is 84008461.

164800480 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 not an unprimeable number, because it can be changed into a prime (164800481) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37536 + ... + 41695.

It is an arithmetic number, because the mean of its divisors is an integer number (8735328).

Almost surely, 2^164800480 is an apocalyptic number.

164800480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

164800480 is an abundant number, since it is smaller than the sum of its proper divisors (254495264).

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

164800480 is a wasteful number, since it uses less digits than its factorization.

164800480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79259 (or 79251 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 31.

The square root of 164800480 is about 12837.4639239999. The cubic root of 164800480 is about 548.2594895884.

The spelling of 164800480 in words is "one hundred sixty-four million, eight hundred thousand, four hundred eighty".