402591168 has 224 divisors, whose sum is σ = 1372331520. Its totient is φ = 113356800.

The previous prime is 402591139. The next prime is 402591179. The reversal of 402591168 is 861195204.

402591168 is a `hidden beast` number, since 4 + 0 + 2 + 591 + 1 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 1003768 + ... + 1004168.

It is an arithmetic number, because the mean of its divisors is an integer number (6126480).

Almost surely, 2^402591168 is an apocalyptic number.

402591168 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 402591168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (686165760).

402591168 is an abundant number, since it is smaller than the sum of its proper divisors (969740352).

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

402591168 is a wasteful number, since it uses less digits than its factorization.

402591168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 512 (or 496 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 402591168 is about 20064.6746298065. The cubic root of 402591168 is about 738.3938673566.

The spelling of 402591168 in words is "four hundred two million, five hundred ninety-one thousand, one hundred sixty-eight".