333406400 has 42 divisors (see below), whose sum is σ = 820392060. Its totient is φ = 133361920.

The previous prime is 333406361. The next prime is 333406429. The reversal of 333406400 is 4604333.

333406400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×333406400² = 222319655121920000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 102590 + ... + 105789.

Almost surely, 2^333406400 is an apocalyptic number.

It is an amenable number.

333406400 is an abundant number, since it is smaller than the sum of its proper divisors (486985660).

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

333406400 is a wasteful number, since it uses less digits than its factorization.

333406400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208401 (or 208386 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 23.

The square root of 333406400 is about 18259.4194869388. The cubic root of 333406400 is about 693.4119322465.

The spelling of 333406400 in words is "three hundred thirty-three million, four hundred six thousand, four hundred".