4745832 has 128 divisors (see below), whose sum is σ = 15240960. Its totient is φ = 1198080.

The previous prime is 4745813. The next prime is 4745833. The reversal of 4745832 is 2385474.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is an alternating number because its digits alternate between even and odd.

It is a junction number, because it is equal to n+sod(n) for n = 4745793 and 4745802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4745833) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 89518 + ... + 89570.

It is an arithmetic number, because the mean of its divisors is an integer number (119070).

Almost surely, 2^4745832 is an apocalyptic number.

4745832 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 4745832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7620480).

4745832 is an abundant number, since it is smaller than the sum of its proper divisors (10495128).

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

4745832 is a wasteful number, since it uses less digits than its factorization.

4745832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 119 counting only the distinct ones).

The product of its digits is 26880, while the sum is 33.

The square root of 4745832 is about 2178.4930571384. The cubic root of 4745832 is about 168.0495885361.

The spelling of 4745832 in words is "four million, seven hundred forty-five thousand, eight hundred thirty-two".