333412400 has 60 divisors (see below), whose sum is σ = 816188832. Its totient is φ = 130840320.

The previous prime is 333412367. The next prime is 333412403. The reversal of 333412400 is 4214333.

333412400 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 2×333412400² = 222327656947520000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (333412403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13337 + ... + 29063.

Almost surely, 2^333412400 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 333412400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408094416).

333412400 is an abundant number, since it is smaller than the sum of its proper divisors (482776432).

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

333412400 is a wasteful number, since it uses less digits than its factorization.

333412400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15798 (or 15787 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

The square root of 333412400 is about 18259.5837849607. The cubic root of 333412400 is about 693.4160917814.

Adding to 333412400 its reverse (4214333), we get a palindrome (337626733).

The spelling of 333412400 in words is "three hundred thirty-three million, four hundred twelve thousand, four hundred".