402144 has 48 divisors (see below), whose sum is σ = 1088640. Its totient is φ = 129920.

The previous prime is 402139. The next prime is 402197. The reversal of 402144 is 441204.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

402144 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5629 + ... + 5699.

It is an arithmetic number, because the mean of its divisors is an integer number (22680).

2⁴⁰²¹⁴⁴ 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 402144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (544320).

402144 is an abundant number, since it is smaller than the sum of its proper divisors (686496).

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

402144 is a wasteful number, since it uses less digits than its factorization.

402144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 402144 is about 634.1482476519. The cubic root of 402144 is about 73.8120381946.

Adding to 402144 its reverse (441204), we get a palindrome (843348).

Subtracting 402144 from its reverse (441204), we obtain a triangular number (39060 = T₂₇₉).

The spelling of 402144 in words is "four hundred two thousand, one hundred forty-four", and thus it is an iban number.