401981328 has 240 divisors, whose sum is σ = 1372134400. Its totient is φ = 107308800.

The previous prime is 401981317. The next prime is 401981401. The reversal of 401981328 is 823189104.

It is a super-4 number, since 4×401981328⁴ (a number of 36 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 401981292 and 401981301.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2662053 + ... + 2662203.

Almost surely, 2^401981328 is an apocalyptic number.

401981328 is a gapful number since it is divisible by the number (48) 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 401981328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (686067200).

401981328 is an abundant number, since it is smaller than the sum of its proper divisors (970153072).

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

401981328 is a wasteful number, since it uses less digits than its factorization.

401981328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 401981328 is about 20049.4720129982. The cubic root of 401981328 is about 738.0208423840.

The spelling of 401981328 in words is "four hundred one million, nine hundred eighty-one thousand, three hundred twenty-eight".