402000 has 80 divisors (see below), whose sum is σ = 1315392. Its totient is φ = 105600.

The previous prime is 401993. The next prime is 402023. The reversal of 402000 is 204.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a self number, because there is not a number n which added to its sum of digits gives 402000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5967 + ... + 6033.

2⁴⁰²⁰⁰⁰ is an apocalyptic number.

402000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 402000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (657696).

402000 is an abundant number, since it is smaller than the sum of its proper divisors (913392).

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

402000 is a wasteful number, since it uses less digits than its factorization.

402000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 6.

The square root of 402000 is about 634.0346993659. The cubic root of 402000 is about 73.8032269210.

Adding to 402000 its reverse (204), we get a palindrome (402204).

The spelling of 402000 in words is "four hundred two thousand", and thus it is an iban number.