402144000 has 288 divisors, whose sum is σ = 1377492480. Its totient is φ = 103936000.

The previous prime is 402143999. The next prime is 402144011. The reversal of 402144000 is 441204.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5663965 + ... + 5664035.

It is an arithmetic number, because the mean of its divisors is an integer number (4782960).

Almost surely, 2^402144000 is an apocalyptic number.

402144000 is a gapful number since it is divisible by the number (40) 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 402144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (688746240).

402144000 is an abundant number, since it is smaller than the sum of its proper divisors (975348480).

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

402144000 is an equidigital number, since it uses as much as digits as its factorization.

402144000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 140 counting only the distinct ones).

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

The square root of 402144000 is about 20053.5283678459. The cubic root of 402144000 is about 738.1203819457.

Adding to 402144000 its reverse (441204), we get a palindrome (402585204).

The spelling of 402144000 in words is "four hundred two million, one hundred forty-four thousand".