456142946 has 48 divisors (see below), whose sum is σ = 865759104. Its totient is φ = 175942272.

The previous prime is 456142927. The next prime is 456142961. The reversal of 456142946 is 649241654.

It is a Smith number, since the sum of its digits (41) coincides with the sum of the digits of its prime factors.

It is an unprimeable 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 23 ways as a sum of consecutive naturals, for example, 124091 + ... + 127713.

It is an arithmetic number, because the mean of its divisors is an integer number (18036648).

Almost surely, 2^456142946 is an apocalyptic number.

456142946 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

456142946 is a deficient number, since it is larger than the sum of its proper divisors (409616158).

456142946 is a wasteful number, since it uses less digits than its factorization.

456142946 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3695 (or 3672 counting only the distinct ones).

The product of its digits is 207360, while the sum is 41.

The square root of 456142946 is about 21357.5032716842. The cubic root of 456142946 is about 769.7806458999.

The spelling of 456142946 in words is "four hundred fifty-six million, one hundred forty-two thousand, nine hundred forty-six".