4645872 has 120 divisors (see below), whose sum is σ = 16248960. Its totient is φ = 1203840.

The previous prime is 4645867. The next prime is 4645873. The reversal of 4645872 is 2785464.

4645872 is a `hidden beast` number, since 4 + 645 + 8 + 7 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4645873) 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, 10879 + ... + 11297.

It is an arithmetic number, because the mean of its divisors is an integer number (135408).

Almost surely, 2^4645872 is an apocalyptic number.

4645872 is a gapful number since it is divisible by the number (42) 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 4645872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8124480).

4645872 is an abundant number, since it is smaller than the sum of its proper divisors (11603088).

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

4645872 is a wasteful number, since it uses less digits than its factorization.

4645872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 451 (or 442 counting only the distinct ones).

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

The square root of 4645872 is about 2155.4284956825. The cubic root of 4645872 is about 166.8613476185.

It can be divided in two parts, 464 and 5872, that added together give a palindrome (6336).

The spelling of 4645872 in words is "four million, six hundred forty-five thousand, eight hundred seventy-two".