402668672 has 192 divisors, whose sum is σ = 1023264000. Its totient is φ = 156764160.

The previous prime is 402668671. The next prime is 402668677. The reversal of 402668672 is 276866204.

It is not an unprimeable number, because it can be changed into a prime (402668671) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 3694154 + ... + 3694262.

It is an arithmetic number, because the mean of its divisors is an integer number (5329500).

Almost surely, 2^402668672 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 402668672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (511632000).

402668672 is an abundant number, since it is smaller than the sum of its proper divisors (620595328).

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

402668672 is a wasteful number, since it uses less digits than its factorization.

402668672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 41.

The square root of 402668672 is about 20066.6058913808. The cubic root of 402668672 is about 738.4412477687.

The spelling of 402668672 in words is "four hundred two million, six hundred sixty-eight thousand, six hundred seventy-two".