468416 has 28 divisors (see below), whose sum is σ = 1002792. Its totient is φ = 215808.

The previous prime is 468389. The next prime is 468421. The reversal of 468416 is 614864.

It is a congruent number.

It is an unprimeable number.

468416 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 3 ways as a sum of consecutive naturals, for example, 551 + ... + 1113.

It is an arithmetic number, because the mean of its divisors is an integer number (35814).

2⁴⁶⁸⁴¹⁶ 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 468416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (501396).

468416 is an abundant number, since it is smaller than the sum of its proper divisors (534376).

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

468416 is a wasteful number, since it uses less digits than its factorization.

468416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 588 (or 578 counting only the distinct ones).

The product of its digits is 4608, while the sum is 29.

The square root of 468416 is about 684.4092343036. The cubic root of 468416 is about 77.6623582089.

The spelling of 468416 in words is "four hundred sixty-eight thousand, four hundred sixteen".