402984 has 48 divisors (see below), whose sum is σ = 1134900. Its totient is φ = 129024.

The previous prime is 402949. The next prime is 402991. The reversal of 402984 is 489204.

402984 = T₁₅₂ + T₁₅₃ + ... + T₁₈₀.

It can be written as a sum of positive squares in 2 ways, for example, as 396900 + 6084 = 630^2 + 78^2 .

It is a super-2 number, since 2×402984² = 324792208512, which contains 22 as substring.

It is a plaindrome in base 13.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 402984.

It is an unprimeable number.

402984 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 11 ways as a sum of consecutive naturals, for example, 1992 + ... + 2184.

2⁴⁰²⁹⁸⁴ 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 402984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (567450).

402984 is an abundant number, since it is smaller than the sum of its proper divisors (731916).

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

402984 is a wasteful number, since it uses less digits than its factorization.

402984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 402984 is about 634.8102078574. The cubic root of 402984 is about 73.8633954132.

The spelling of 402984 in words is "four hundred two thousand, nine hundred eighty-four".