409962 has 32 divisors (see below), whose sum is σ = 963072. Its totient is φ = 113904.

The previous prime is 409961. The next prime is 409967. The reversal of 409962 is 269904.

409962 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is not an unprimeable number, because it can be changed into a prime (409961) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1693 + ... + 1919.

It is an arithmetic number, because the mean of its divisors is an integer number (30096).

2⁴⁰⁹⁹⁶² is an apocalyptic number.

409962 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 409962, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (481536).

409962 is an abundant number, since it is smaller than the sum of its proper divisors (553110).

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

409962 is a wasteful number, since it uses less digits than its factorization.

409962 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282.

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 409962 is about 640.2827500409. The cubic root of 409962 is about 74.2872932181.

The spelling of 409962 in words is "four hundred nine thousand, nine hundred sixty-two".