4779360 has 72 divisors (see below), whose sum is σ = 16314480. Its totient is φ = 1274112.

The previous prime is 4779353. The next prime is 4779371. The reversal of 4779360 is 639774.

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 a zygodrome in base 3.

It is a congruent number.

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, 220 + ... + 3099.

It is an arithmetic number, because the mean of its divisors is an integer number (226590).

Almost surely, 2^4779360 is an apocalyptic number.

4779360 is a gapful number since it is divisible by the number (40) 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 4779360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8157240).

4779360 is an abundant number, since it is smaller than the sum of its proper divisors (11535120).

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

4779360 is a wasteful number, since it uses less digits than its factorization.

4779360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3340 (or 3329 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The square root of 4779360 is about 2186.1747414148. The cubic root of 4779360 is about 168.4444016423. Note that the first 4 decimals are identical.

The spelling of 4779360 in words is "four million, seven hundred seventy-nine thousand, three hundred sixty".