402752 has 56 divisors (see below), whose sum is σ = 975360. Its totient is φ = 161280.

The previous prime is 402751. The next prime is 402757. The reversal of 402752 is 257204.

402752 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (402751) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12977 + ... + 13007.

2⁴⁰²⁷⁵² 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 402752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (487680).

402752 is an abundant number, since it is smaller than the sum of its proper divisors (572608).

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

402752 is a wasteful number, since it uses less digits than its factorization.

402752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 20.

The square root of 402752 is about 634.6274497688. The cubic root of 402752 is about 73.8492181777.

Adding to 402752 its reverse (257204), we get a palindrome (659956).

The spelling of 402752 in words is "four hundred two thousand, seven hundred fifty-two".