456145242 has 32 divisors (see below), whose sum is σ = 1062294912. Its totient is φ = 127867584.

The previous prime is 456145237. The next prime is 456145243. The reversal of 456145242 is 242541654.

It is not an unprimeable number, because it can be changed into a prime (456145243) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 100233 + ... + 104684.

It is an arithmetic number, because the mean of its divisors is an integer number (33196716).

Almost surely, 2^456145242 is an apocalyptic number.

456145242 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

456145242 is an abundant number, since it is smaller than the sum of its proper divisors (606149670).

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

456145242 is a wasteful number, since it uses less digits than its factorization.

456145242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204982.

The product of its digits is 38400, while the sum is 33.

The square root of 456145242 is about 21357.5570232178. The cubic root of 456145242 is about 769.7819374638.

Adding to 456145242 its reverse (242541654), we get a palindrome (698686896).

The spelling of 456145242 in words is "four hundred fifty-six million, one hundred forty-five thousand, two hundred forty-two".