456265242 has 24 divisors (see below), whose sum is σ = 991806816. Its totient is φ = 151591176.

The previous prime is 456265213. The next prime is 456265253. The reversal of 456265242 is 242562654.

456265242 is a `hidden beast` number, since 4 + 5 + 626 + 5 + 24 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 456265197 and 456265206.

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, 35758 + ... + 46809.

It is an arithmetic number, because the mean of its divisors is an integer number (41325284).

Almost surely, 2^456265242 is an apocalyptic number.

456265242 is an abundant number, since it is smaller than the sum of its proper divisors (535541574).

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

456265242 is a wasteful number, since it uses less digits than its factorization.

456265242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82882 (or 82879 counting only the distinct ones).

The product of its digits is 115200, while the sum is 36.

The square root of 456265242 is about 21360.3661485472. The cubic root of 456265242 is about 769.8494347759.

The spelling of 456265242 in words is "four hundred fifty-six million, two hundred sixty-five thousand, two hundred forty-two".