402288 has 60 divisors (see below), whose sum is σ = 1142040. Its totient is φ = 121856.

The previous prime is 402277. The next prime is 402299. The reversal of 402288 is 882204.

It is an interprime number because it is at equal distance from previous prime (402277) and next prime (402299).

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13858 + ... + 13886.

It is an arithmetic number, because the mean of its divisors is an integer number (19034).

2⁴⁰²²⁸⁸ is an apocalyptic number.

402288 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 402288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (571020).

402288 is an abundant number, since it is smaller than the sum of its proper divisors (739752).

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

402288 is a wasteful number, since it uses less digits than its factorization.

402288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 402288 is about 634.2617756100. The cubic root of 402288 is about 73.8208473650.

The spelling of 402288 in words is "four hundred two thousand, two hundred eighty-eight".