164904480 has 288 divisors, whose sum is σ = 634023936. Its totient is φ = 38725632.

The previous prime is 164904473. The next prime is 164904497. The reversal of 164904480 is 84409461.

It is a happy number.

164904480 is a `hidden beast` number, since 1 + 649 + 0 + 4 + 4 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 430369 + ... + 430751.

It is an arithmetic number, because the mean of its divisors is an integer number (2201472).

Almost surely, 2^164904480 is an apocalyptic number.

164904480 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 164904480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317011968).

164904480 is an abundant number, since it is smaller than the sum of its proper divisors (469119456).

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

164904480 is a wasteful number, since it uses less digits than its factorization.

164904480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 440 (or 429 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 164904480 is about 12841.5139294399. The cubic root of 164904480 is about 548.3747946669.

The spelling of 164904480 in words is "one hundred sixty-four million, nine hundred four thousand, four hundred eighty".