456683860 has 48 divisors (see below), whose sum is σ = 1004887296. Its totient is φ = 174006272.

The previous prime is 456683813. The next prime is 456683861. The reversal of 456683860 is 68386654.

It is a hoax number, since the sum of its digits (46) 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 (46).

It is a self number, because there is not a number n which added to its sum of digits gives 456683860.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (456683861) 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, 116289 + ... + 120151.

It is an arithmetic number, because the mean of its divisors is an integer number (20935152).

Almost surely, 2^456683860 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 456683860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (502443648).

456683860 is an abundant number, since it is smaller than the sum of its proper divisors (548203436).

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

456683860 is a wasteful number, since it uses less digits than its factorization.

456683860 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4152 (or 4150 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 46.

The square root of 456683860 is about 21370.1628444895. The cubic root of 456683860 is about 770.0848054118.

The spelling of 456683860 in words is "four hundred fifty-six million, six hundred eighty-three thousand, eight hundred sixty".