401115008 has 128 divisors (see below), whose sum is σ = 969408000. Its totient is φ = 161667072.

The previous prime is 401115007. The next prime is 401115031. The reversal of 401115008 is 800511104.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401115007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1117133 + ... + 1117491.

It is an arithmetic number, because the mean of its divisors is an integer number (7573500).

Almost surely, 2^401115008 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 401115008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (484704000).

401115008 is an abundant number, since it is smaller than the sum of its proper divisors (568292992).

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

401115008 is a wasteful number, since it uses less digits than its factorization.

401115008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452 (or 440 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 20.

The square root of 401115008 is about 20027.8558013583. The cubic root of 401115008 is about 737.4902853456.

The spelling of 401115008 in words is "four hundred one million, one hundred fifteen thousand, eight".