402446016 has 280 divisors, whose sum is σ = 1394449840. Its totient is φ = 113799168.

The previous prime is 402445969. The next prime is 402446027. The reversal of 402446016 is 610644204.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 39 ways as a sum of consecutive naturals, for example, 4148880 + ... + 4148976.

It is an arithmetic number, because the mean of its divisors is an integer number (4980178).

Almost surely, 2^402446016 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 402446016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (697224920).

402446016 is an abundant number, since it is smaller than the sum of its proper divisors (992003824).

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

402446016 is an frugal number, since it uses more digits than its factorization.

402446016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 402446016 is about 20061.0572004568. The cubic root of 402446016 is about 738.3051154261.

The spelling of 402446016 in words is "four hundred two million, four hundred forty-six thousand, sixteen".