416832 has 56 divisors (see below), whose sum is σ = 1194816. Its totient is φ = 127488.

The previous prime is 416821. The next prime is 416833. The reversal of 416832 is 238614.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is one of the 548 Lynch-Bell numbers.

It is not an unprimeable number, because it can be changed into a prime (416833) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2413 + ... + 2579.

It is an arithmetic number, because the mean of its divisors is an integer number (21336).

2⁴¹⁶⁸³² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 416832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (597408).

416832 is an abundant number, since it is smaller than the sum of its proper divisors (777984).

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

416832 is a wasteful number, since it uses less digits than its factorization.

416832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 185 counting only the distinct ones).

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

The square root of 416832 is about 645.6252783155. The cubic root of 416832 is about 74.6999568107.

It can be divided in two parts, 4 and 16832, that added together give a triangular number (16836 = T₁₈₃).

The spelling of 416832 in words is "four hundred sixteen thousand, eight hundred thirty-two".