427752 has 48 divisors (see below), whose sum is σ = 1250340. Its totient is φ = 131328.

The previous prime is 427751. The next prime is 427781. The reversal of 427752 is 257724.

It can be written as a sum of positive squares in 2 ways, for example, as 427716 + 36 = 654^2 + 6^2 .

It is not an unprimeable number, because it can be changed into a prime (427751) 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, 708 + ... + 1164.

2⁴²⁷⁷⁵² 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 427752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (625170).

427752 is an abundant number, since it is smaller than the sum of its proper divisors (822588).

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

427752 is a wasteful number, since it uses less digits than its factorization.

427752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 482 (or 475 counting only the distinct ones).

The product of its digits is 3920, while the sum is 27.

The square root of 427752 is about 654.0275223567. The cubic root of 427752 is about 75.3466618719.

The spelling of 427752 in words is "four hundred twenty-seven thousand, seven hundred fifty-two".