401984 has 28 divisors (see below), whose sum is σ = 871728. Its totient is φ = 182400.

The previous prime is 401981. The next prime is 401987. The reversal of 401984 is 489104.

It is an interprime number because it is at equal distance from previous prime (401981) and next prime (401987).

It is a super-2 number, since 2×401984² = 323182272512, which contains 22 as substring.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 401984.

It is not an unprimeable number, because it can be changed into a prime (401981) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 419 + ... + 989.

2⁴⁰¹⁹⁸⁴ is an apocalyptic number.

401984 is a gapful number since it is divisible by the number (44) 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 401984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435864).

401984 is an abundant number, since it is smaller than the sum of its proper divisors (469744).

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

401984 is a wasteful number, since it uses less digits than its factorization.

401984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 594 (or 584 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 26.

The square root of 401984 is about 634.0220816344. The cubic root of 401984 is about 73.8022477607.

The spelling of 401984 in words is "four hundred one thousand, nine hundred eighty-four".