405263320 has 96 divisors (see below), whose sum is σ = 1157204880. Its totient is φ = 126309120.

The previous prime is 405263297. The next prime is 405263333. The reversal of 405263320 is 23362504.

It is a happy number.

It is a congruent number.

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, 12162 + ... + 30958.

Almost surely, 2^405263320 is an apocalyptic number.

405263320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 405263320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (578602440).

405263320 is an abundant number, since it is smaller than the sum of its proper divisors (751941560).

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

405263320 is a wasteful number, since it uses less digits than its factorization.

405263320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18833 (or 18822 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 25.

The square root of 405263320 is about 20131.1529724455. The cubic root of 405263320 is about 740.0239339714.

The spelling of 405263320 in words is "four hundred five million, two hundred sixty-three thousand, three hundred twenty".