4877712 has 80 divisors (see below), whose sum is σ = 16010880. Its totient is φ = 1392768.

The previous prime is 4877711. The next prime is 4877723. The reversal of 4877712 is 2177784.

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 not an unprimeable number, because it can be changed into a prime (4877711) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2218 + ... + 3830.

It is an arithmetic number, because the mean of its divisors is an integer number (200136).

Almost surely, 2^4877712 is an apocalyptic number.

4877712 is a gapful number since it is divisible by the number (42) 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 4877712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8005440).

4877712 is an abundant number, since it is smaller than the sum of its proper divisors (11133168).

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

4877712 is a wasteful number, since it uses less digits than its factorization.

4877712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1637 (or 1625 counting only the distinct ones).

The product of its digits is 21952, while the sum is 36.

The square root of 4877712 is about 2208.5542782553. The cubic root of 4877712 is about 169.5920089388.

The spelling of 4877712 in words is "four million, eight hundred seventy-seven thousand, seven hundred twelve".