413946 has 48 divisors (see below), whose sum is σ = 1015560. Its totient is φ = 120960.

The previous prime is 413923. The next prime is 413951. The reversal of 413946 is 649314.

It can be written as a sum of positive squares in 4 ways, for example, as 168921 + 245025 = 411^2 + 495^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

Its product of digits (2592) is a multiple of the sum of its prime divisors (108).

It is an unprimeable number.

413946 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 23 ways as a sum of consecutive naturals, for example, 6756 + ... + 6816.

2⁴¹³⁹⁴⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 413946, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (507780).

413946 is an abundant number, since it is smaller than the sum of its proper divisors (601614).

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

413946 is a wasteful number, since it uses less digits than its factorization.

413946 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 108 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 413946 is about 643.3863536010. The cubic root of 413946 is about 74.5271585442.

The spelling of 413946 in words is "four hundred thirteen thousand, nine hundred forty-six".