4638624 has 48 divisors (see below), whose sum is σ = 12287520. Its totient is φ = 1532160.

The previous prime is 4638607. The next prime is 4638629. The reversal of 4638624 is 4268364.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×4638624² = 43033665226752, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (4638629) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20142 + ... + 20370.

It is an arithmetic number, because the mean of its divisors is an integer number (255990).

Almost surely, 2^4638624 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 4638624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6143760).

4638624 is an abundant number, since it is smaller than the sum of its proper divisors (7648896).

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

4638624 is a wasteful number, since it uses less digits than its factorization.

4638624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 453 (or 445 counting only the distinct ones).

The product of its digits is 27648, while the sum is 33.

The square root of 4638624 is about 2153.7465031893. The cubic root of 4638624 is about 166.7745292900.

The spelling of 4638624 in words is "four million, six hundred thirty-eight thousand, six hundred twenty-four".