4743648 has 144 divisors (see below), whose sum is σ = 16694496. Its totient is φ = 1244160.

The previous prime is 4743637. The next prime is 4743671. The reversal of 4743648 is 8463474.

4743648 is a `hidden beast` number, since 4 + 7 + 4 + 3 + 648 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26118 + ... + 26298.

It is an arithmetic number, because the mean of its divisors is an integer number (115934).

Almost surely, 2^4743648 is an apocalyptic number.

4743648 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 4743648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8347248).

4743648 is an abundant number, since it is smaller than the sum of its proper divisors (11950848).

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

4743648 is a wasteful number, since it uses less digits than its factorization.

4743648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 206 counting only the distinct ones).

The product of its digits is 64512, while the sum is 36.

The square root of 4743648 is about 2177.9917355215. The cubic root of 4743648 is about 168.0238061502.

Adding to 4743648 its sum of digits (36), we get a square (4743684 = 2178²).

The spelling of 4743648 in words is "four million, seven hundred forty-three thousand, six hundred forty-eight".