413204000 has 96 divisors (see below), whose sum is σ = 1107654912. Its totient is φ = 150240000.

The previous prime is 413203997. The next prime is 413204009. The reversal of 413204000 is 402314.

It is not an unprimeable number, because it can be changed into a prime (413204009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39305 + ... + 48695.

It is an arithmetic number, because the mean of its divisors is an integer number (11538072).

Almost surely, 2^413204000 is an apocalyptic number.

413204000 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 413204000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (553827456).

413204000 is an abundant number, since it is smaller than the sum of its proper divisors (694450912).

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

413204000 is a wasteful number, since it uses less digits than its factorization.

413204000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9427 (or 9409 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 413204000 is about 20327.4199051429. The cubic root of 413204000 is about 744.8260182590.

Adding to 413204000 its reverse (402314), we get a palindrome (413606314).

The spelling of 413204000 in words is "four hundred thirteen million, two hundred four thousand".