4772448 has 72 divisors (see below), whose sum is σ = 13818168. Its totient is φ = 1562112.

The previous prime is 4772437. The next prime is 4772459. The reversal of 4772448 is 8442774.

It is an interprime number because it is at equal distance from previous prime (4772437) and next prime (4772459).

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

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

It is a congruent number.

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, 20911 + ... + 21137.

It is an arithmetic number, because the mean of its divisors is an integer number (191919).

Almost surely, 2^4772448 is an apocalyptic number.

4772448 is a gapful number since it is divisible by the number (48) 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 4772448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6909084).

4772448 is an abundant number, since it is smaller than the sum of its proper divisors (9045720).

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

4772448 is a wasteful number, since it uses less digits than its factorization.

4772448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316 (or 305 counting only the distinct ones).

The product of its digits is 50176, while the sum is 36.

The square root of 4772448 is about 2184.5933259991. The cubic root of 4772448 is about 168.3631599818.

The spelling of 4772448 in words is "four million, seven hundred seventy-two thousand, four hundred forty-eight".