413600 has 72 divisors (see below), whose sum is σ = 1124928. Its totient is φ = 147200.

The previous prime is 413597. The next prime is 413629. The reversal of 413600 is 6314.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8777 + ... + 8823.

It is an arithmetic number, because the mean of its divisors is an integer number (15624).

2⁴¹³⁶⁰⁰ is an apocalyptic number.

413600 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 413600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (562464).

413600 is an abundant number, since it is smaller than the sum of its proper divisors (711328).

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

413600 is a wasteful number, since it uses less digits than its factorization.

413600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 413600 is about 643.1174076325. The cubic root of 413600 is about 74.5063880534.

Adding to 413600 its reverse (6314), we get a palindrome (419914).

The spelling of 413600 in words is "four hundred thirteen thousand, six hundred".