456509142 has 16 divisors (see below), whose sum is σ = 1014464880. Its totient is φ = 152169696.

The previous prime is 456509117. The next prime is 456509149. The reversal of 456509142 is 241905654.

456509142 is a `hidden beast` number, since 4 + 5 + 6 + 509 + 142 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 456509097 and 456509106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (456509149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4226883 + ... + 4226990.

It is an arithmetic number, because the mean of its divisors is an integer number (63404055).

Almost surely, 2^456509142 is an apocalyptic number.

456509142 is an abundant number, since it is smaller than the sum of its proper divisors (557955738).

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

456509142 is a wasteful number, since it uses less digits than its factorization.

456509142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8453884 (or 8453878 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 456509142 is about 21366.0745575784. The cubic root of 456509142 is about 769.9865865994.

The spelling of 456509142 in words is "four hundred fifty-six million, five hundred nine thousand, one hundred forty-two".