405513288 has 48 divisors (see below), whose sum is σ = 1125060300. Its totient is φ = 131873280.

The previous prime is 405513239. The next prime is 405513301. The reversal of 405513288 is 882315504.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 338633604 + 66879684 = 18402^2 + 8178^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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 11 ways as a sum of consecutive naturals, for example, 65733 + ... + 71636.

Almost surely, 2^405513288 is an apocalyptic number.

It is an amenable number.

405513288 is an abundant number, since it is smaller than the sum of its proper divisors (719547012).

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

405513288 is a wasteful number, since it uses less digits than its factorization.

405513288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137422 (or 137415 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 405513288 is about 20137.3605023101. The cubic root of 405513288 is about 740.1760525851.

The spelling of 405513288 in words is "four hundred five million, five hundred thirteen thousand, two hundred eighty-eight".