401046816 has 96 divisors (see below), whose sum is σ = 1080838080. Its totient is φ = 130166784.

The previous prime is 401046803. The next prime is 401046827. The reversal of 401046816 is 618640104.

It is a tau number, because it is divible by the number of its divisors (96).

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 15 ways as a sum of consecutive naturals, for example, 623391 + ... + 624033.

It is an arithmetic number, because the mean of its divisors is an integer number (11258730).

Almost surely, 2^401046816 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 401046816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (540419040).

401046816 is an abundant number, since it is smaller than the sum of its proper divisors (679791264).

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

401046816 is a wasteful number, since it uses less digits than its factorization.

401046816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 818 (or 810 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 401046816 is about 20026.1533001223. The cubic root of 401046816 is about 737.4484903601.

The spelling of 401046816 in words is "four hundred one million, forty-six thousand, eight hundred sixteen".