402952 has 32 divisors (see below), whose sum is σ = 871200. Its totient is φ = 172800.

The previous prime is 402949. The next prime is 402991. The reversal of 402952 is 259204.

It is a happy number.

402952 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1552 + ... + 1792.

It is an arithmetic number, because the mean of its divisors is an integer number (27225).

2⁴⁰²⁹⁵² 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 402952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435600).

402952 is an abundant number, since it is smaller than the sum of its proper divisors (468248).

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

402952 is a wasteful number, since it uses less digits than its factorization.

402952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 402952 is about 634.7850029734. The cubic root of 402952 is about 73.8614402560.

It can be divided in two parts, 40 and 2952, that added together give a palindrome (2992).

The spelling of 402952 in words is "four hundred two thousand, nine hundred fifty-two".