4677444 has 36 divisors (see below), whose sum is σ = 12115740. Its totient is φ = 1520640.

The previous prime is 4677443. The next prime is 4677451. The reversal of 4677444 is 4447764.

It can be written as a sum of positive squares in 2 ways, for example, as 1855044 + 2822400 = 1362^2 + 1680^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 4677399 and 4677408.

It is not an unprimeable number, because it can be changed into a prime (4677443) 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, 109 + ... + 3060.

Almost surely, 2^4677444 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 4677444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6057870).

4677444 is an abundant number, since it is smaller than the sum of its proper divisors (7438296).

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

4677444 is a wasteful number, since it uses less digits than its factorization.

4677444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3220 (or 3215 counting only the distinct ones).

The product of its digits is 75264, while the sum is 36.

The square root of 4677444 is about 2162.7399288865. The cubic root of 4677444 is about 167.2384750784.

The spelling of 4677444 in words is "four million, six hundred seventy-seven thousand, four hundred forty-four".