4794120 has 128 divisors (see below), whose sum is σ = 16761600. Its totient is φ = 1216512.

The previous prime is 4794103. The next prime is 4794149. The reversal of 4794120 is 214974.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24744 + ... + 24936.

It is an arithmetic number, because the mean of its divisors is an integer number (130950).

Almost surely, 2^4794120 is an apocalyptic number.

4794120 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 4794120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8380800).

4794120 is an abundant number, since it is smaller than the sum of its proper divisors (11967480).

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

4794120 is a wasteful number, since it uses less digits than its factorization.

4794120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 4794120 is about 2189.5478985398. The cubic root of 4794120 is about 168.6176245807.

It can be divided in two parts, 47941 and 20, that added together give a square (47961 = 219²).

The spelling of 4794120 in words is "four million, seven hundred ninety-four thousand, one hundred twenty".