413505200 has 120 divisors (see below), whose sum is σ = 1052871600. Its totient is φ = 155796480.

The previous prime is 413505199. The next prime is 413505221. The reversal of 413505200 is 2505314.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 498386 + ... + 499214.

It is an arithmetic number, because the mean of its divisors is an integer number (8773930).

Almost surely, 2^413505200 is an apocalyptic number.

413505200 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 413505200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (526435800).

413505200 is an abundant number, since it is smaller than the sum of its proper divisors (639366400).

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

413505200 is a wasteful number, since it uses less digits than its factorization.

413505200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 919 (or 908 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

The square root of 413505200 is about 20334.8272675231. The cubic root of 413505200 is about 745.0069515739.

The spelling of 413505200 in words is "four hundred thirteen million, five hundred five thousand, two hundred".