402192 has 120 divisors (see below), whose sum is σ = 1413600. Its totient is φ = 108864.

The previous prime is 402139. The next prime is 402197. The reversal of 402192 is 291204.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (402197) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21159 + ... + 21177.

It is an arithmetic number, because the mean of its divisors is an integer number (11780).

2⁴⁰²¹⁹² is an apocalyptic number.

402192 is a gapful number since it is divisible by the number (42) 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 402192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (706800).

402192 is an abundant number, since it is smaller than the sum of its proper divisors (1011408).

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

402192 is a wasteful number, since it uses less digits than its factorization.

402192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50 (or 31 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 402192 is about 634.1860925627. The cubic root of 402192 is about 73.8149748183.

Adding to 402192 its reverse (291204), we get a palindrome (693396).

The spelling of 402192 in words is "four hundred two thousand, one hundred ninety-two".