33000480 has 96 divisors (see below), whose sum is σ = 115516800. Its totient is φ = 8798976.

The previous prime is 33000431. The next prime is 33000481. The reversal of 33000480 is 8400033.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (33000481) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 501 + ... + 8139.

It is an arithmetic number, because the mean of its divisors is an integer number (1203300).

Almost surely, 2^33000480 is an apocalyptic number.

33000480 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 33000480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57758400).

33000480 is an abundant number, since it is smaller than the sum of its proper divisors (82516320).

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

33000480 is a wasteful number, since it uses less digits than its factorization.

33000480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7663 (or 7649 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 33000480 is about 5744.6044250235. The cubic root of 33000480 is about 320.7549881602.

The spelling of 33000480 in words is "thirty-three million, four hundred eighty", and thus it is an aban number.