405534240 has 72 divisors (see below), whose sum is σ = 1383890508. Its totient is φ = 108142080.

The previous prime is 405534223. The next prime is 405534251. The reversal of 405534240 is 42435504.

It can be written as a sum of positive squares in 2 ways, for example, as 369100944 + 36433296 = 19212^2 + 6036^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 139371 + ... + 142250.

Almost surely, 2^405534240 is an apocalyptic number.

405534240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

405534240 is an abundant number, since it is smaller than the sum of its proper divisors (978356268).

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

405534240 is a wasteful number, since it uses less digits than its factorization.

405534240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281642 (or 281631 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 27.

The square root of 405534240 is about 20137.8807226580. The cubic root of 405534240 is about 740.1888001341.

Adding to 405534240 its reverse (42435504), we get a palindrome (447969744).

The spelling of 405534240 in words is "four hundred five million, five hundred thirty-four thousand, two hundred forty".