4638456 has 48 divisors (see below), whose sum is σ = 13113360. Its totient is φ = 1478400.

The previous prime is 4638449. The next prime is 4638457. The reversal of 4638456 is 6548364.

4638456 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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

It is a self number, because there is not a number n which added to its sum of digits gives 4638456.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4638457) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 256 + ... + 3056.

It is an arithmetic number, because the mean of its divisors is an integer number (273195).

Almost surely, 2^4638456 is an apocalyptic number.

4638456 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4638456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6556680).

4638456 is an abundant number, since it is smaller than the sum of its proper divisors (8474904).

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

4638456 is a wasteful number, since it uses less digits than its factorization.

4638456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2836 (or 2829 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 4638456 is about 2153.7075010317. The cubic root of 4638456 is about 166.7725158726.

The spelling of 4638456 in words is "four million, six hundred thirty-eight thousand, four hundred fifty-six".