405713538 has 36 divisors (see below), whose sum is σ = 910437138. Its totient is φ = 130569600.

The previous prime is 405713527. The next prime is 405713597. The reversal of 405713538 is 835317504.

It can be written as a sum of positive squares in 3 ways, for example, as 326271969 + 79441569 = 18063^2 + 8913^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1738 + ... + 28538.

Almost surely, 2^405713538 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 405713538, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (455218569).

405713538 is an abundant number, since it is smaller than the sum of its proper divisors (504723600).

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

405713538 is a wasteful number, since it uses less digits than its factorization.

405713538 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26867 (or 26835 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 405713538 is about 20142.3319901147. The cubic root of 405713538 is about 740.2978701002.

The spelling of 405713538 in words is "four hundred five million, seven hundred thirteen thousand, five hundred thirty-eight".