405263616 has 72 divisors (see below), whose sum is σ = 1135401120. Its totient is φ = 127973376.

The previous prime is 405263591. The next prime is 405263653. The reversal of 405263616 is 616362504.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 706 + ... + 28478.

It is an arithmetic number, because the mean of its divisors is an integer number (15769460).

Almost surely, 2^405263616 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 405263616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (567700560).

405263616 is an abundant number, since it is smaller than the sum of its proper divisors (730137504).

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

405263616 is a wasteful number, since it uses less digits than its factorization.

405263616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27811 (or 27797 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 33.

The square root of 405263616 is about 20131.1603242337. The cubic root of 405263616 is about 740.0241141399.

The spelling of 405263616 in words is "four hundred five million, two hundred sixty-three thousand, six hundred sixteen".