4621824 has 120 divisors (see below), whose sum is σ = 14362920. Its totient is φ = 1425408.

The previous prime is 4621823. The next prime is 4621847. The reversal of 4621824 is 4281264.

It is a super-2 number, since 2×4621824² = 42722514173952, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4621823) 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, 78307 + ... + 78365.

It is an arithmetic number, because the mean of its divisors is an integer number (119691).

Almost surely, 2^4621824 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 4621824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7181460).

4621824 is an abundant number, since it is smaller than the sum of its proper divisors (9741096).

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

4621824 is a wasteful number, since it uses less digits than its factorization.

4621824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 81 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

The square root of 4621824 is about 2149.8427849496. The cubic root of 4621824 is about 166.5729464201.

It can be divided in two parts, 4621 and 824, that added together give a palindrome (5445).

The spelling of 4621824 in words is "four million, six hundred twenty-one thousand, eight hundred twenty-four".