456287856 has 80 divisors (see below), whose sum is σ = 1227480960. Its totient is φ = 145877760.

The previous prime is 456287833. The next prime is 456287873. The reversal of 456287856 is 658782654.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 456287799 and 456287808.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 225891 + ... + 227901.

It is an arithmetic number, because the mean of its divisors is an integer number (15343512).

Almost surely, 2^456287856 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 456287856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (613740480).

456287856 is an abundant number, since it is smaller than the sum of its proper divisors (771193104).

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

456287856 is a wasteful number, since it uses less digits than its factorization.

456287856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2214 (or 2208 counting only the distinct ones).

The product of its digits is 3225600, while the sum is 51.

The square root of 456287856 is about 21360.8954868470. The cubic root of 456287856 is about 769.8621533191.

The spelling of 456287856 in words is "four hundred fifty-six million, two hundred eighty-seven thousand, eight hundred fifty-six".