400046816 has 96 divisors (see below), whose sum is σ = 890523648. Its totient is φ = 175633920.

The previous prime is 400046813. The next prime is 400046831. The reversal of 400046816 is 618640004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400046813) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 863801 + ... + 864263.

It is an arithmetic number, because the mean of its divisors is an integer number (9276288).

Almost surely, 2^400046816 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 400046816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (445261824).

400046816 is an abundant number, since it is smaller than the sum of its proper divisors (490476832).

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

400046816 is a wasteful number, since it uses less digits than its factorization.

400046816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 584 (or 576 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

The square root of 400046816 is about 20001.1703657561. The cubic root of 400046816 is about 736.8350438765.

The spelling of 400046816 in words is "four hundred million, forty-six thousand, eight hundred sixteen".