423752 has 48 divisors (see below), whose sum is σ = 984960. Its totient is φ = 170016.

The previous prime is 423751. The next prime is 423763. The reversal of 423752 is 257324.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 423752.

It is not an unprimeable number, because it can be changed into a prime (423751) 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, 8993 + ... + 9039.

It is an arithmetic number, because the mean of its divisors is an integer number (20520).

2⁴²³⁷⁵² 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 423752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (492480).

423752 is an abundant number, since it is smaller than the sum of its proper divisors (561208).

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

423752 is a wasteful number, since it uses less digits than its factorization.

423752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 79 counting only the distinct ones).

The product of its digits is 1680, while the sum is 23.

The square root of 423752 is about 650.9623645035. The cubic root of 423752 is about 75.1110650758. Note that the first 3 decimals are identical.

It can be divided in two parts, 423 and 752, that multiplied together give a square (318096 = 564²).

The spelling of 423752 in words is "four hundred twenty-three thousand, seven hundred fifty-two".