402005868 has 96 divisors (see below), whose sum is σ = 1130734080. Its totient is φ = 109655040.

The previous prime is 402005837. The next prime is 402005873. The reversal of 402005868 is 868500204.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47718 + ... + 55506.

It is an arithmetic number, because the mean of its divisors is an integer number (11778480).

Almost surely, 2^402005868 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 402005868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (565367040).

402005868 is an abundant number, since it is smaller than the sum of its proper divisors (728728212).

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

402005868 is a wasteful number, since it uses less digits than its factorization.

402005868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7847 (or 7845 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The square root of 402005868 is about 20050.0839898490. The cubic root of 402005868 is about 738.0358602150.

The spelling of 402005868 in words is "four hundred two million, five thousand, eight hundred sixty-eight".