405913216 has 48 divisors (see below), whose sum is σ = 859099590. Its totient is φ = 191000576.

The previous prime is 405913201. The next prime is 405913219. The reversal of 405913216 is 612319504.

It can be written as a sum of positive squares in 3 ways, for example, as 404170816 + 1742400 = 20104^2 + 1320^2 .

It is not an unprimeable number, because it can be changed into a prime (405913219) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 31506 + ... + 42478.

Almost surely, 2^405913216 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 405913216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (429549795).

405913216 is an abundant number, since it is smaller than the sum of its proper divisors (453186374).

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

405913216 is a wasteful number, since it uses less digits than its factorization.

405913216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11021 (or 10992 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 31.

The square root of 405913216 is about 20147.2880557161. The cubic root of 405913216 is about 740.4192997462.

The spelling of 405913216 in words is "four hundred five million, nine hundred thirteen thousand, two hundred sixteen".