33390480 has 120 divisors (see below), whose sum is σ = 108618048. Its totient is φ = 8484608.

The previous prime is 33390473. The next prime is 33390491. The reversal of 33390480 is 8409333.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×33390480² = 2229848309260800, which contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 126829 + ... + 127091.

Almost surely, 2^33390480 is an apocalyptic number.

33390480 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 33390480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54309024).

33390480 is an abundant number, since it is smaller than the sum of its proper divisors (75227568).

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

33390480 is a wasteful number, since it uses less digits than its factorization.

33390480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

The square root of 33390480 is about 5778.4496190587. The cubic root of 33390480 is about 322.0136048673.

The spelling of 33390480 in words is "thirty-three million, three hundred ninety thousand, four hundred eighty".