405123240 has 64 divisors (see below), whose sum is σ = 1217684160. Its totient is φ = 107827200.

The previous prime is 405123233. The next prime is 405123241. The reversal of 405123240 is 42321504.

It is not an unprimeable number, because it can be changed into a prime (405123241) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 66315 + ... + 72165.

It is an arithmetic number, because the mean of its divisors is an integer number (19026315).

Almost surely, 2^405123240 is an apocalyptic number.

405123240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

405123240 is an abundant number, since it is smaller than the sum of its proper divisors (812560920).

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

405123240 is a wasteful number, since it uses less digits than its factorization.

405123240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6442 (or 6438 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 405123240 is about 20127.6734870178. The cubic root of 405123240 is about 739.9386606084.

Adding to 405123240 its reverse (42321504), we get a palindrome (447444744).

The spelling of 405123240 in words is "four hundred five million, one hundred twenty-three thousand, two hundred forty".