403465216 has 264 divisors, whose sum is σ = 1108917216. Its totient is φ = 144506880.

The previous prime is 403465211. The next prime is 403465219. The reversal of 403465216 is 612564304.

It is not an unprimeable number, because it can be changed into a prime (403465211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9382891 + ... + 9382933.

It is an arithmetic number, because the mean of its divisors is an integer number (4200444).

Almost surely, 2^403465216 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 403465216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (554458608).

403465216 is an abundant number, since it is smaller than the sum of its proper divisors (705452000).

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

403465216 is a wasteful number, since it uses less digits than its factorization.

403465216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 31.

The square root of 403465216 is about 20086.4435876538. The cubic root of 403465216 is about 738.9278459403.

The spelling of 403465216 in words is "four hundred three million, four hundred sixty-five thousand, two hundred sixteen".