33480480 has 192 divisors, whose sum is σ = 122145408. Its totient is φ = 7618560.

The previous prime is 33480467. The next prime is 33480509. The reversal of 33480480 is 8408433.

It is a super-2 number, since 2×33480480² = 2241885082060800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 89574 + ... + 89946.

It is an arithmetic number, because the mean of its divisors is an integer number (636174).

Almost surely, 2^33480480 is an apocalyptic number.

33480480 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 33480480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61072704).

33480480 is an abundant number, since it is smaller than the sum of its proper divisors (88664928).

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

33480480 is a wasteful number, since it uses less digits than its factorization.

33480480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 419 (or 411 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 33480480 is about 5786.2319345149. The cubic root of 33480480 is about 322.3026615575.

The spelling of 33480480 in words is "thirty-three million, four hundred eighty thousand, four hundred eighty".