401329984 has 28 divisors (see below), whose sum is σ = 868789728. Its totient is φ = 182422400.

The previous prime is 401329979. The next prime is 401329991. The reversal of 401329984 is 489923104.

It is a super-2 number, since 2×401329984² = 322131512114880512, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 284332 + ... + 285739.

Almost surely, 2^401329984 is an apocalyptic number.

401329984 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

401329984 is an abundant number, since it is smaller than the sum of its proper divisors (467459744).

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

401329984 is a wasteful number, since it uses less digits than its factorization.

401329984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 570094 (or 570084 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 40.

The square root of 401329984 is about 20033.2220074555. Note that the first 3 decimals coincide. The cubic root of 401329984 is about 737.6220134812.

The spelling of 401329984 in words is "four hundred one million, three hundred twenty-nine thousand, nine hundred eighty-four".