4779432 has 128 divisors (see below), whose sum is σ = 15840000. Its totient is φ = 1306368.

The previous prime is 4779427. The next prime is 4779433. The reversal of 4779432 is 2349774.

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 d-powerful number, because it can be written as 4⁶ + 7 + 7⁵ + 9 + 4¹¹ + 3¹² + 2¹⁵ .

It is not an unprimeable number, because it can be changed into a prime (4779433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43794 + ... + 43902.

It is an arithmetic number, because the mean of its divisors is an integer number (123750).

Almost surely, 2^4779432 is an apocalyptic number.

4779432 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 4779432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7920000).

4779432 is an abundant number, since it is smaller than the sum of its proper divisors (11060568).

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

4779432 is a wasteful number, since it uses less digits than its factorization.

4779432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 150 counting only the distinct ones).

The product of its digits is 42336, while the sum is 36.

The square root of 4779432 is about 2186.1912084719. The cubic root of 4779432 is about 168.4452474972.

The spelling of 4779432 in words is "four million, seven hundred seventy-nine thousand, four hundred thirty-two".