456412 has 36 divisors (see below), whose sum is σ = 938448. Its totient is φ = 193600.

The previous prime is 456409. The next prime is 456427. The reversal of 456412 is 214654.

456412 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11112 + ... + 11152.

It is an arithmetic number, because the mean of its divisors is an integer number (26068).

2⁴⁵⁶⁴¹² is an apocalyptic number.

It is an amenable number.

456412 is an abundant number, since it is smaller than the sum of its proper divisors (482036).

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

456412 is a wasteful number, since it uses less digits than its factorization.

456412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 77 counting only the distinct ones).

The product of its digits is 960, while the sum is 22.

The square root of 456412 is about 675.5827114425. The cubic root of 456412 is about 76.9931966778.

It can be divided in two parts, 456 and 412, that added together give a palindrome (868).

The spelling of 456412 in words is "four hundred fifty-six thousand, four hundred twelve".