456863250 has 64 divisors (see below), whose sum is σ = 1151190144. Its totient is φ = 120670400.

The previous prime is 456863207. The next prime is 456863279. The reversal of 456863250 is 52368654.

It is a junction number, because it is equal to n+sod(n) for n = 456863199 and 456863208.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 77404 + ... + 83096.

It is an arithmetic number, because the mean of its divisors is an integer number (17987346).

Almost surely, 2^456863250 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 456863250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (575595072).

456863250 is an abundant number, since it is smaller than the sum of its proper divisors (694326894).

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

456863250 is a wasteful number, since it uses less digits than its factorization.

456863250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5820 (or 5810 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 39.

The square root of 456863250 is about 21374.3596395307. The cubic root of 456863250 is about 770.1856245568.

The spelling of 456863250 in words is "four hundred fifty-six million, eight hundred sixty-three thousand, two hundred fifty".