403984 has 20 divisors (see below), whose sum is σ = 894784. Its totient is φ = 173088.

The previous prime is 403981. The next prime is 403993. The reversal of 403984 is 489304.

403984 = T₁₀₅ + T₁₀₆ + ... + T₁₅₂.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a nialpdrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (403981) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1692 + ... + 1915.

2⁴⁰³⁹⁸⁴ is an apocalyptic number.

It is an amenable number.

403984 is an abundant number, since it is smaller than the sum of its proper divisors (490800).

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

403984 is a wasteful number, since it uses less digits than its factorization.

403984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3622 (or 3616 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 403984 is about 635.5973568227. The cubic root of 403984 is about 73.9244419911.

The spelling of 403984 in words is "four hundred three thousand, nine hundred eighty-four".