456123252 has 48 divisors (see below), whose sum is σ = 1185690240. Its totient is φ = 135504768.

The previous prime is 456123251. The next prime is 456123271. The reversal of 456123252 is 252321654.

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (456123251) 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, 45888 + ... + 54935.

It is an arithmetic number, because the mean of its divisors is an integer number (24701880).

Almost surely, 2^456123252 is an apocalyptic number.

It is an amenable number.

456123252 is an abundant number, since it is smaller than the sum of its proper divisors (729566988).

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

456123252 is a wasteful number, since it uses less digits than its factorization.

456123252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100872 (or 100870 counting only the distinct ones).

The product of its digits is 14400, while the sum is 30.

The square root of 456123252 is about 21357.0422109430. The cubic root of 456123252 is about 769.7695672980.

The spelling of 456123252 in words is "four hundred fifty-six million, one hundred twenty-three thousand, two hundred fifty-two".