4819920 has 160 divisors (see below), whose sum is σ = 18094080. Its totient is φ = 1036800.

The previous prime is 4819909. The next prime is 4819937. The reversal of 4819920 is 299184.

4819920 = 245² + 246² + ... + 307².

It is a congruent number.

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, 31845 + ... + 31995.

It is an arithmetic number, because the mean of its divisors is an integer number (113088).

Almost surely, 2^4819920 is an apocalyptic number.

4819920 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 4819920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9047040).

4819920 is an abundant number, since it is smaller than the sum of its proper divisors (13274160).

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

4819920 is a wasteful number, since it uses less digits than its factorization.

4819920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 33.

The square root of 4819920 is about 2195.4316204337. The cubic root of 4819920 is about 168.9195607062.

It can be divided in two parts, 481 and 9920, that added together give a palindrome (10401).

The spelling of 4819920 in words is "four million, eight hundred nineteen thousand, nine hundred twenty".