164264480 has 48 divisors (see below), whose sum is σ = 389030040. Its totient is φ = 65544192.

The previous prime is 164264479. The next prime is 164264531. The reversal of 164264480 is 84462461.

It can be written as a sum of positive squares in 4 ways, for example, as 162511504 + 1752976 = 12748^2 + 1324^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 164264480.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 80432 + ... + 82448.

Almost surely, 2^164264480 is an apocalyptic number.

164264480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

164264480 is an abundant number, since it is smaller than the sum of its proper divisors (224765560).

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

164264480 is a wasteful number, since it uses less digits than its factorization.

164264480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2541 (or 2533 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 35.

The square root of 164264480 is about 12816.5705241301. The cubic root of 164264480 is about 547.6644543956.

The spelling of 164264480 in words is "one hundred sixty-four million, two hundred sixty-four thousand, four hundred eighty".