4872456 has 96 divisors (see below), whose sum is σ = 14227200. Its totient is φ = 1503360.

The previous prime is 4872451. The next prime is 4872467. The reversal of 4872456 is 6542784.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 4872456.

It is not an unprimeable number, because it can be changed into a prime (4872451) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 82555 + ... + 82613.

It is an arithmetic number, because the mean of its divisors is an integer number (148200).

Almost surely, 2^4872456 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 4872456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7113600).

4872456 is an abundant number, since it is smaller than the sum of its proper divisors (9354744).

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

4872456 is a wasteful number, since it uses less digits than its factorization.

4872456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 132 counting only the distinct ones).

The product of its digits is 53760, while the sum is 36.

The square root of 4872456 is about 2207.3640388481. The cubic root of 4872456 is about 169.5310721745.

The spelling of 4872456 in words is "four million, eight hundred seventy-two thousand, four hundred fifty-six".