4635792 has 150 divisors (see below), whose sum is σ = 15821718. Its totient is φ = 1306368.

The previous prime is 4635779. The next prime is 4635793. The reversal of 4635792 is 2975364.

It can be written as a sum of positive squares in only one way, i.e., 4064256 + 571536 = 2016^2 + 756^2 .

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 4⁹ + 6⁸ + 3¹² + 5⁹ + 7⁶ + 9⁵ + 2¹⁵ .

It is not an unprimeable number, because it can be changed into a prime (4635793) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 63468 + ... + 63540.

Almost surely, 2^4635792 is an apocalyptic number.

4635792 is a gapful number since it is divisible by the number (42) 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 4635792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7910859).

4635792 is an abundant number, since it is smaller than the sum of its proper divisors (11185926).

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

4635792 is a wasteful number, since it uses less digits than its factorization.

4635792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 85 counting only the distinct ones).

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

The square root of 4635792 is about 2153.0889438200. The cubic root of 4635792 is about 166.7405823251.

The spelling of 4635792 in words is "four million, six hundred thirty-five thousand, seven hundred ninety-two".