413828 has 6 divisors (see below), whose sum is σ = 724206. Its totient is φ = 206912.

The previous prime is 413827. The next prime is 413849. The reversal of 413828 is 828314.

It can be written as a sum of positive squares in only one way, i.e., 322624 + 91204 = 568^2 + 302^2 .

It is a super-2 number, since 2×413828² = 342507227168, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 413797 and 413806.

It is not an unprimeable number, because it can be changed into a prime (413827) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51725 + ... + 51732.

It is an arithmetic number, because the mean of its divisors is an integer number (120701).

2⁴¹³⁸²⁸ is an apocalyptic number.

It is an amenable number.

413828 is a deficient number, since it is larger than the sum of its proper divisors (310378).

413828 is a wasteful number, since it uses less digits than its factorization.

413828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103461 (or 103459 counting only the distinct ones).

The product of its digits is 1536, while the sum is 26.

The square root of 413828 is about 643.2946447780. The cubic root of 413828 is about 74.5200762674.

The spelling of 413828 in words is "four hundred thirteen thousand, eight hundred twenty-eight".