4473744 has 80 divisors (see below), whose sum is σ = 13005120. Its totient is φ = 1313280.

The previous prime is 4473731. The next prime is 4473751.

4473744 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19422 + ... + 19650.

It is an arithmetic number, because the mean of its divisors is an integer number (162564).

Almost surely, 2^4473744 is an apocalyptic number.

4473744 is a gapful number since it is divisible by the number (44) 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 4473744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6502560).

4473744 is an abundant number, since it is smaller than the sum of its proper divisors (8531376).

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

4473744 is a wasteful number, since it uses less digits than its factorization.

4473744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 282 counting only the distinct ones).

The product of its digits is 37632, while the sum is 33.

The square root of 4473744 is about 2115.1226914768. The cubic root of 4473744 is about 164.7746418393.

Adding to 4473744 its product of digits (37632), we get a square (4511376 = 2124²).

The spelling of 4473744 in words is "four million, four hundred seventy-three thousand, seven hundred forty-four".