333420880 has 160 divisors (see below), whose sum is σ = 890942976. Its totient is φ = 115095552.

The previous prime is 333420809. The next prime is 333420889. The reversal of 333420880 is 88024333.

It is a super-2 number, since 2×333420880² = 222338966439948800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (333420889) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1267629 + ... + 1267891.

Almost surely, 2^333420880 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 333420880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (445471488).

333420880 is an abundant number, since it is smaller than the sum of its proper divisors (557522096).

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

333420880 is a wasteful number, since it uses less digits than its factorization.

333420880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 365 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 31.

The square root of 333420880 is about 18259.8159903105. The cubic root of 333420880 is about 693.4219705056.

The spelling of 333420880 in words is "three hundred thirty-three million, four hundred twenty thousand, eight hundred eighty".