416442 has 32 divisors (see below), whose sum is σ = 947520. Its totient is φ = 120960.

The previous prime is 416441. The next prime is 416443. The reversal of 416442 is 244614.

It is an interprime number because it is at equal distance from previous prime (416441) and next prime (416443).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (416441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1342 + ... + 1622.

It is an arithmetic number, because the mean of its divisors is an integer number (29610).

2⁴¹⁶⁴⁴² is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 416442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (473760).

416442 is an abundant number, since it is smaller than the sum of its proper divisors (531078).

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

416442 is a wasteful number, since it uses less digits than its factorization.

416442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318.

The product of its digits is 768, while the sum is 21.

The square root of 416442 is about 645.3231748512. The cubic root of 416442 is about 74.6766523989.

It can be divided in two parts, 416 and 442, that added together give a palindrome (858).

The spelling of 416442 in words is "four hundred sixteen thousand, four hundred forty-two".