402688 has 54 divisors (see below), whose sum is σ = 951482. Its totient is φ = 168960.

The previous prime is 402631. The next prime is 402691. The reversal of 402688 is 886204.

It can be written as a sum of positive squares in only one way, i.e., 278784 + 123904 = 528^2 + 352^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 30970 + ... + 30982.

2⁴⁰²⁶⁸⁸ 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 402688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (475741).

402688 is an abundant number, since it is smaller than the sum of its proper divisors (548794).

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

402688 is a wasteful number, since it uses less digits than its factorization.

402688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51 (or 26 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

The square root of 402688 is about 634.5770244817. The cubic root of 402688 is about 73.8453062581.

It can be divided in two parts, 4026 and 88, that added together give a palindrome (4114).

The spelling of 402688 in words is "four hundred two thousand, six hundred eighty-eight".