405136384 has 99 divisors (see below), whose sum is σ = 884199603. Its totient is φ = 185499648.

The previous prime is 405136343. The next prime is 405136393. The reversal of 405136384 is 483631504.

It is a happy number.

The square root of 405136384 is 20128.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 188457984 + 216678400 = 13728^2 + 14720^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 10949614 + ... + 10949650.

Almost surely, 2^405136384 is an apocalyptic number.

405136384 is the 20128-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 405136384

405136384 is an abundant number, since it is smaller than the sum of its proper divisors (479063219).

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

405136384 is an equidigital number, since it uses as much as digits as its factorization.

405136384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 34.

The cubic root of 405136384 is about 739.9466628224.

Adding to 405136384 its reverse (483631504), we get a palindrome (888767888).

The spelling of 405136384 in words is "four hundred five million, one hundred thirty-six thousand, three hundred eighty-four".