4777632 has 72 divisors (see below), whose sum is σ = 13886964. Its totient is φ = 1557504.

The previous prime is 4777621. The next prime is 4777679. The reversal of 4777632 is 2367774.

It can be written as a sum of positive squares in 2 ways, for example, as 4511376 + 266256 = 2124^2 + 516^2 .

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 an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15108 + ... + 15420.

Almost surely, 2^4777632 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 4777632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6943482).

4777632 is an abundant number, since it is smaller than the sum of its proper divisors (9109332).

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

4777632 is a wasteful number, since it uses less digits than its factorization.

4777632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382 (or 371 counting only the distinct ones).

The product of its digits is 49392, while the sum is 36.

The square root of 4777632 is about 2185.7794948256. The cubic root of 4777632 is about 168.4240985743.

It can be divided in two parts, 477 and 7632, that multiplied together give a square (3640464 = 1908²).

The spelling of 4777632 in words is "four million, seven hundred seventy-seven thousand, six hundred thirty-two".