401200416 has 144 divisors (see below), whose sum is σ = 1190033208. Its totient is φ = 128102400.

The previous prime is 401200399. The next prime is 401200421. The reversal of 401200416 is 614002104.

It can be written as a sum of positive squares in 4 ways, for example, as 47610000 + 353590416 = 6900^2 + 18804^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 720010 + ... + 720566.

Almost surely, 2^401200416 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 401200416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (595016604).

401200416 is an abundant number, since it is smaller than the sum of its proper divisors (788832792).

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

401200416 is a wasteful number, since it uses less digits than its factorization.

401200416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 675 (or 664 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 401200416 is about 20029.9879181192. The cubic root of 401200416 is about 737.5426253636.

The spelling of 401200416 in words is "four hundred one million, two hundred thousand, four hundred sixteen".