32424480 has 288 divisors, whose sum is σ = 127370880. Its totient is φ = 7434240.

The previous prime is 32424479. The next prime is 32424487. The reversal of 32424480 is 8442423.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (32424487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 364276 + ... + 364364.

It is an arithmetic number, because the mean of its divisors is an integer number (442260).

Almost surely, 2^32424480 is an apocalyptic number.

32424480 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 32424480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63685440).

32424480 is an abundant number, since it is smaller than the sum of its proper divisors (94946400).

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

32424480 is a wasteful number, since it uses less digits than its factorization.

32424480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 32424480 is about 5694.2497310884. The cubic root of 32424480 is about 318.8778403007.

The spelling of 32424480 in words is "thirty-two million, four hundred twenty-four thousand, four hundred eighty".