402588 has 36 divisors (see below), whose sum is σ = 1041768. Its totient is φ = 131040.

The previous prime is 402587. The next prime is 402593. The reversal of 402588 is 885204.

It is a tau number, because it is divible by the number of its divisors (36).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (402581) 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, 1803 + ... + 2013.

It is an arithmetic number, because the mean of its divisors is an integer number (28938).

2⁴⁰²⁵⁸⁸ 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 402588, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (520884).

402588 is an abundant number, since it is smaller than the sum of its proper divisors (639180).

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

402588 is a wasteful number, since it uses less digits than its factorization.

402588 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 402588 is about 634.4982269479. The cubic root of 402588 is about 73.8391930538.

It can be divided in two parts, 402 and 588, that added together give a triangular number (990 = T₄₄).

The spelling of 402588 in words is "four hundred two thousand, five hundred eighty-eight".