413634 has 16 divisors (see below), whose sum is σ = 891072. Its totient is φ = 127248.

The previous prime is 413629. The next prime is 413653. The reversal of 413634 is 436314.

It is a Curzon number.

It is a nialpdrome in base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 413634.

It is a congruent number.

It is an unprimeable number.

413634 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2574 + ... + 2729.

It is an arithmetic number, because the mean of its divisors is an integer number (55692).

2⁴¹³⁶³⁴ is an apocalyptic number.

413634 is an abundant number, since it is smaller than the sum of its proper divisors (477438).

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

413634 is a wasteful number, since it uses less digits than its factorization.

413634 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5321.

The product of its digits is 864, while the sum is 21.

The square root of 413634 is about 643.1438408319. The cubic root of 413634 is about 74.5084295973.

Adding to 413634 its reverse (436314), we get a palindrome (849948).

The spelling of 413634 in words is "four hundred thirteen thousand, six hundred thirty-four".