163104480 has 288 divisors, whose sum is σ = 694407168. Its totient is φ = 33868800.

The previous prime is 163104463. The next prime is 163104499. The reversal of 163104480 is 84401361.

163104480 = 1695² + 1696² + ... + 1749².

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 110145 + ... + 111615.

It is an arithmetic number, because the mean of its divisors is an integer number (2411136).

Almost surely, 2^163104480 is an apocalyptic number.

163104480 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 163104480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347203584).

163104480 is an abundant number, since it is smaller than the sum of its proper divisors (531302688).

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

163104480 is a wasteful number, since it uses less digits than its factorization.

163104480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1510 (or 1499 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 163104480 is about 12771.2364319200. The cubic root of 163104480 is about 546.3722454528.

The spelling of 163104480 in words is "one hundred sixty-three million, one hundred four thousand, four hundred eighty".