4785792 has 96 divisors (see below), whose sum is σ = 14108640. Its totient is φ = 1436160.

The previous prime is 4785791. The next prime is 4785793. The reversal of 4785792 is 2975874.

It is an interprime number because it is at equal distance from previous prime (4785791) and next prime (4785793).

It is a tau number, because it is divible by the number of its divisors (96).

It is a d-powerful number, because it can be written as 4³ + 7³ + 8 + 5 + 7⁴ + 9⁷ + 2 .

It is not an unprimeable number, because it can be changed into a prime (4785791) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 46413 + ... + 46515.

It is an arithmetic number, because the mean of its divisors is an integer number (146965).

Almost surely, 2^4785792 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 4785792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7054320).

4785792 is an abundant number, since it is smaller than the sum of its proper divisors (9322848).

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

4785792 is a wasteful number, since it uses less digits than its factorization.

4785792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 119 counting only the distinct ones).

The product of its digits is 141120, while the sum is 42.

The square root of 4785792 is about 2187.6453094595. The cubic root of 4785792 is about 168.5199311923.

The spelling of 4785792 in words is "four million, seven hundred eighty-five thousand, seven hundred ninety-two".