456666252 has 48 divisors (see below), whose sum is σ = 1237754112. Its totient is φ = 128335680.

The previous prime is 456666251. The next prime is 456666269. The reversal of 456666252 is 252666654.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (456666251) 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 15 ways as a sum of consecutive naturals, for example, 39438 + ... + 49685.

It is an arithmetic number, because the mean of its divisors is an integer number (25786544).

Almost surely, 2^456666252 is an apocalyptic number.

456666252 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

456666252 is an abundant number, since it is smaller than the sum of its proper divisors (781087860).

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

456666252 is a wasteful number, since it uses less digits than its factorization.

456666252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89198 (or 89196 counting only the distinct ones).

The product of its digits is 518400, while the sum is 42.

The square root of 456666252 is about 21369.7508642473. The cubic root of 456666252 is about 770.0749081001.

The spelling of 456666252 in words is "four hundred fifty-six million, six hundred sixty-six thousand, two hundred fifty-two".