402210144 has 192 divisors, whose sum is σ = 1360558080. Its totient is φ = 113218560.

The previous prime is 402210121. The next prime is 402210167. The reversal of 402210144 is 441012204.

It is an interprime number because it is at equal distance from previous prime (402210121) and next prime (402210167).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 441049 + ... + 441959.

It is an arithmetic number, because the mean of its divisors is an integer number (7086240).

Almost surely, 2^402210144 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 402210144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (680279040).

402210144 is an abundant number, since it is smaller than the sum of its proper divisors (958347936).

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

402210144 is a wasteful number, since it uses less digits than its factorization.

402210144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1010 (or 996 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 402210144 is about 20055.1774861256. The cubic root of 402210144 is about 738.1608480127.

Adding to 402210144 its reverse (441012204), we get a palindrome (843222348).

The spelling of 402210144 in words is "four hundred two million, two hundred ten thousand, one hundred forty-four".