413628 has 12 divisors (see below), whose sum is σ = 965160. Its totient is φ = 137872.

The previous prime is 413597. The next prime is 413629. The reversal of 413628 is 826314.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (12).

It is a d-powerful number, because it can be written as 4⁹ + 1 + 6³ + 3⁹ + 2¹⁷ + 8³ .

It is a junction number, because it is equal to n+sod(n) for n = 413598 and 413607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413629) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 17223 + ... + 17246.

It is an arithmetic number, because the mean of its divisors is an integer number (80430).

2⁴¹³⁶²⁸ is an apocalyptic number.

It is an amenable number.

413628 is an abundant number, since it is smaller than the sum of its proper divisors (551532).

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

413628 is a wasteful number, since it uses less digits than its factorization.

413628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34476 (or 34474 counting only the distinct ones).

The product of its digits is 1152, while the sum is 24.

The square root of 413628 is about 643.1391762286. The cubic root of 413628 is about 74.5080693330.

Subtracting 413628 from its reverse (826314), we obtain a triangular number (412686 = T₉₀₈).

The spelling of 413628 in words is "four hundred thirteen thousand, six hundred twenty-eight".