401835984 has 160 divisors (see below), whose sum is σ = 1184257536. Its totient is φ = 116328960.

The previous prime is 401835937. The next prime is 401836003. The reversal of 401835984 is 489538104.

It is a super-2 number, since 2×401835984² = 322944316074496512, 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 31 ways as a sum of consecutive naturals, for example, 1308759 + ... + 1309065.

Almost surely, 2^401835984 is an apocalyptic number.

401835984 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 401835984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (592128768).

401835984 is an abundant number, since it is smaller than the sum of its proper divisors (782421552).

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

401835984 is a wasteful number, since it uses less digits than its factorization.

401835984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433 (or 427 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The square root of 401835984 is about 20045.8470511974. The cubic root of 401835984 is about 737.9318831675.

The spelling of 401835984 in words is "four hundred one million, eight hundred thirty-five thousand, nine hundred eighty-four".