413233200 has 180 divisors, whose sum is σ = 1453185760. Its totient is φ = 108725760.

The previous prime is 413233187. The next prime is 413233207. The reversal of 413233200 is 2332314.

413233200 is a `hidden beast` number, since 413 + 233 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

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

It is not an unprimeable number, because it can be changed into a prime (413233207) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 283674 + ... + 285126.

Almost surely, 2^413233200 is an apocalyptic number.

413233200 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 413233200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (726592880).

413233200 is an abundant number, since it is smaller than the sum of its proper divisors (1039952560).

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

413233200 is a wasteful number, since it uses less digits than its factorization.

413233200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1556 (or 1542 counting only the distinct ones).

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

The square root of 413233200 is about 20328.1381341234. The cubic root of 413233200 is about 744.8435627870.

Adding to 413233200 its reverse (2332314), we get a palindrome (415565514).

The spelling of 413233200 in words is "four hundred thirteen million, two hundred thirty-three thousand, two hundred".