401377984 has 28 divisors (see below), whose sum is σ = 910268944. Its totient is φ = 172018944.

The previous prime is 401377969. The next prime is 401377993. The reversal of 401377984 is 489773104.

It is a tau number, because it is divible by the number of its divisors (28).

It is a super-3 number, since 3×401377984³ (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 401377984.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 447519 + ... + 448414.

Almost surely, 2^401377984 is an apocalyptic number.

It is an amenable number.

401377984 is an abundant number, since it is smaller than the sum of its proper divisors (508890960).

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

401377984 is an equidigital number, since it uses as much as digits as its factorization.

401377984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 895952 (or 895942 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 43.

The square root of 401377984 is about 20034.4199816216. The cubic root of 401377984 is about 737.6514194120.

The spelling of 401377984 in words is "four hundred one million, three hundred seventy-seven thousand, nine hundred eighty-four".