4945824 has 72 divisors (see below), whose sum is σ = 15158052. Its totient is φ = 1520640.

The previous prime is 4945813. The next prime is 4945849. The reversal of 4945824 is 4285494.

4945824 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 4928400 + 17424 = 2220^2 + 132^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×4945824² = 48922350077952, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3084 + ... + 4404.

Almost surely, 2^4945824 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 4945824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7579026).

4945824 is an abundant number, since it is smaller than the sum of its proper divisors (10212228).

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

4945824 is a wasteful number, since it uses less digits than its factorization.

4945824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1350 (or 1339 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 4945824 is about 2223.9208619013. The cubic root of 4945824 is about 170.3777528319.

The spelling of 4945824 in words is "four million, nine hundred forty-five thousand, eight hundred twenty-four".