403905216 has 224 divisors, whose sum is σ = 1286304768. Its totient is φ = 110223360.

The previous prime is 403905197. The next prime is 403905223. The reversal of 403905216 is 612509304.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1290276 + ... + 1290588.

It is an arithmetic number, because the mean of its divisors is an integer number (5742432).

Almost surely, 2^403905216 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 403905216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (643152384).

403905216 is an abundant number, since it is smaller than the sum of its proper divisors (882399552).

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

403905216 is a wasteful number, since it uses less digits than its factorization.

403905216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 399 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 403905216 is about 20097.3932638041. The cubic root of 403905216 is about 739.1963615570.

The spelling of 403905216 in words is "four hundred three million, nine hundred five thousand, two hundred sixteen".