401998080 has 288 divisors, whose sum is σ = 1450487808. Its totient is φ = 94003200.

The previous prime is 401998073. The next prime is 401998123. The reversal of 401998080 is 80899104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1309287 + ... + 1309593.

It is an arithmetic number, because the mean of its divisors is an integer number (5036416).

Almost surely, 2^401998080 is an apocalyptic number.

401998080 is a gapful number since it is divisible by the number (40) 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 401998080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (725243904).

401998080 is an abundant number, since it is smaller than the sum of its proper divisors (1048489728).

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

401998080 is a wasteful number, since it uses less digits than its factorization.

401998080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 39.

The square root of 401998080 is about 20049.8897752581. The cubic root of 401998080 is about 738.0310942312.

The spelling of 401998080 in words is "four hundred one million, nine hundred ninety-eight thousand, eighty".