456412242 has 96 divisors (see below), whose sum is σ = 1110586176. Its totient is φ = 124122240.

The previous prime is 456412189. The next prime is 456412247. The reversal of 456412242 is 242214654.

It is not an unprimeable number, because it can be changed into a prime (456412247) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 348553 + ... + 349859.

It is an arithmetic number, because the mean of its divisors is an integer number (11568606).

Almost surely, 2^456412242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 456412242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (555293088).

456412242 is an abundant number, since it is smaller than the sum of its proper divisors (654173934).

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

456412242 is a wasteful number, since it uses less digits than its factorization.

456412242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1384 (or 1373 counting only the distinct ones).

The product of its digits is 15360, while the sum is 30.

The square root of 456412242 is about 21363.8068236913. The cubic root of 456412242 is about 769.9321028567.

Adding to 456412242 its reverse (242214654), we get a palindrome (698626896).

It can be divided in two parts, 456412 and 242, that added together give a palindrome (456654).

The spelling of 456412242 in words is "four hundred fifty-six million, four hundred twelve thousand, two hundred forty-two".