405132320 has 48 divisors (see below), whose sum is σ = 990140760. Its totient is φ = 156463104.

The previous prime is 405132289. The next prime is 405132331. The reversal of 405132320 is 23231504.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 226321936 + 178810384 = 15044^2 + 13372^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 405132292 and 405132301.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39017 + ... + 48296.

Almost surely, 2^405132320 is an apocalyptic number.

405132320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

405132320 is an abundant number, since it is smaller than the sum of its proper divisors (585008440).

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

405132320 is a wasteful number, since it uses less digits than its factorization.

405132320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87357 (or 87349 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 405132320 is about 20127.8990458518. The cubic root of 405132320 is about 739.9441886323.

Adding to 405132320 its reverse (23231504), we get a palindrome (428363824).

The spelling of 405132320 in words is "four hundred five million, one hundred thirty-two thousand, three hundred twenty".