4817792 has 64 divisors (see below), whose sum is σ = 11587200. Its totient is φ = 1949184.

The previous prime is 4817789. The next prime is 4817797. The reversal of 4817792 is 2977184.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×4817792² = 46422239510528, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4817797) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16883 + ... + 17165.

It is an arithmetic number, because the mean of its divisors is an integer number (181050).

Almost surely, 2^4817792 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 4817792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5793600).

4817792 is an abundant number, since it is smaller than the sum of its proper divisors (6769408).

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

4817792 is a wasteful number, since it uses less digits than its factorization.

4817792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323 (or 311 counting only the distinct ones).

The product of its digits is 28224, while the sum is 38.

The square root of 4817792 is about 2194.9469241875. The cubic root of 4817792 is about 168.8946976560.

The spelling of 4817792 in words is "four million, eight hundred seventeen thousand, seven hundred ninety-two".