413334000 has 120 divisors (see below), whose sum is σ = 1443700752. Its totient is φ = 110217600.

The previous prime is 413333969. The next prime is 413334001. The reversal of 413334000 is 433314.

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

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413334001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6519 + ... + 29481.

Almost surely, 2^413334000 is an apocalyptic number.

413334000 is a gapful number since it is divisible by the number (40) 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 413334000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (721850376).

413334000 is an abundant number, since it is smaller than the sum of its proper divisors (1030366752).

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

413334000 is a wasteful number, since it uses less digits than its factorization.

413334000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22992 (or 22973 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 413334000 is about 20330.6173049418. The cubic root of 413334000 is about 744.9041211087.

Adding to 413334000 its reverse (433314), we get a palindrome (413767314).

The spelling of 413334000 in words is "four hundred thirteen million, three hundred thirty-four thousand".