402006016 has 56 divisors (see below), whose sum is σ = 830421504. Its totient is φ = 194396160.

The previous prime is 402006001. The next prime is 402006053. The reversal of 402006016 is 610600204.

It is a junction number, because it is equal to n+sod(n) for n = 402005984 and 402006002.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 253161 + ... + 254743.

Almost surely, 2^402006016 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 402006016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415210752).

402006016 is an abundant number, since it is smaller than the sum of its proper divisors (428415488).

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

402006016 is an equidigital number, since it uses as much as digits as its factorization.

402006016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1640 (or 1616 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 402006016 is about 20050.0876806063. The cubic root of 402006016 is about 738.0359507853.

The spelling of 402006016 in words is "four hundred two million, six thousand, sixteen".