456416 has 24 divisors (see below), whose sum is σ = 952560. Its totient is φ = 214528.

The previous prime is 456409. The next prime is 456427. The reversal of 456416 is 614654.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

456416 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 3 ways as a sum of consecutive naturals, for example, 125 + ... + 963.

It is an arithmetic number, because the mean of its divisors is an integer number (39690).

2⁴⁵⁶⁴¹⁶ 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 456416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (476280).

456416 is an abundant number, since it is smaller than the sum of its proper divisors (496144).

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

456416 is a wasteful number, since it uses less digits than its factorization.

456416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 866 (or 858 counting only the distinct ones).

The product of its digits is 2880, while the sum is 26.

The square root of 456416 is about 675.5856718433. The cubic root of 456416 is about 76.9934216003.

The spelling of 456416 in words is "four hundred fifty-six thousand, four hundred sixteen".