33204480 has 72 divisors (see below), whose sum is σ = 106059072. Its totient is φ = 8853504.

The previous prime is 33204473. The next prime is 33204481. The reversal of 33204480 is 8440233.

It is a super-2 number, since 2×33204480² = 2205074984140800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 33204480.

It is not an unprimeable number, because it can be changed into a prime (33204481) 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 7 ways as a sum of consecutive naturals, for example, 484 + ... + 8163.

Almost surely, 2^33204480 is an apocalyptic number.

33204480 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 33204480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53029536).

33204480 is an abundant number, since it is smaller than the sum of its proper divisors (72854592).

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

33204480 is an equidigital number, since it uses as much as digits as its factorization.

33204480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8671 (or 8657 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 33204480 is about 5762.3328609167. The cubic root of 33204480 is about 321.4145709599.

The spelling of 33204480 in words is "thirty-three million, two hundred four thousand, four hundred eighty".