4653792 has 144 divisors (see below), whose sum is σ = 15685488. Its totient is φ = 1290240.

The previous prime is 4653763. The next prime is 4653793. The reversal of 4653792 is 2973564.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a d-powerful number, because it can be written as 4¹¹ + 6⁷ + 5 + 3¹¹ + 7³ + 9 + 2¹¹ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4653793) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41128 + ... + 41240.

It is an arithmetic number, because the mean of its divisors is an integer number (108927).

Almost surely, 2^4653792 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 4653792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7842744).

4653792 is an abundant number, since it is smaller than the sum of its proper divisors (11031696).

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

4653792 is a wasteful number, since it uses less digits than its factorization.

4653792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 142 counting only the distinct ones).

The product of its digits is 45360, while the sum is 36.

The square root of 4653792 is about 2157.2649350509. The cubic root of 4653792 is about 166.9561121480.

It can be divided in two parts, 4653 and 792, that added together give a palindrome (5445).

The spelling of 4653792 in words is "four million, six hundred fifty-three thousand, seven hundred ninety-two".