32484480 has 128 divisors (see below), whose sum is σ = 118385280. Its totient is φ = 7421952.

The previous prime is 32484461. The next prime is 32484493. The reversal of 32484480 is 8448423.

It is a tau number, because it is divible by the number of its divisors (128).

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 15 ways as a sum of consecutive naturals, for example, 12232 + ... + 14648.

It is an arithmetic number, because the mean of its divisors is an integer number (924885).

Almost surely, 2^32484480 is an apocalyptic number.

32484480 is a gapful number since it is divisible by the number (30) 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 32484480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59192640).

32484480 is an abundant number, since it is smaller than the sum of its proper divisors (85900800).

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

32484480 is a wasteful number, since it uses less digits than its factorization.

32484480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2446 (or 2434 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 33.

The square root of 32484480 is about 5699.5157689053. The cubic root of 32484480 is about 319.0744086668.

The spelling of 32484480 in words is "thirty-two million, four hundred eighty-four thousand, four hundred eighty".