333480 has 64 divisors (see below), whose sum is σ = 1146240. Its totient is φ = 76032.

The previous prime is 333479. The next prime is 333491. The reversal of 333480 is 84333.

It is a super-2 number, since 2×333480² = 222417820800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 642 + ... + 1038.

It is an arithmetic number, because the mean of its divisors is an integer number (17910).

2³³³⁴⁸⁰ is an apocalyptic number.

333480 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 333480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (573120).

333480 is an abundant number, since it is smaller than the sum of its proper divisors (812760).

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

333480 is a wasteful number, since it uses less digits than its factorization.

333480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 418 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 333480 is about 577.4772722800. The cubic root of 333480 is about 69.3462952426.

The spelling of 333480 in words is "three hundred thirty-three thousand, four hundred eighty".