402008 has 16 divisors (see below), whose sum is σ = 778560. Its totient is φ = 194400.

The previous prime is 401993. The next prime is 402023. The reversal of 402008 is 800204.

402008 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (401993) and next prime (402023).

It is a super-2 number, since 2×402008² = 323220864128, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 401983 and 402001.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 563 + ... + 1058.

It is an arithmetic number, because the mean of its divisors is an integer number (48660).

2⁴⁰²⁰⁰⁸ is an apocalyptic number.

It is an amenable number.

402008 is a deficient number, since it is larger than the sum of its proper divisors (376552).

402008 is a wasteful number, since it uses less digits than its factorization.

402008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1658 (or 1654 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 402008 is about 634.0410081375. The cubic root of 402008 is about 73.8037164914.

It can be divided in two parts, 40 and 2008, that added together give a 11-th power (2048 = 2¹¹).

The spelling of 402008 in words is "four hundred two thousand, eight".