505406352 has 120 divisors (see below), whose sum is σ = 1446282432. Its totient is φ = 151965440.

The previous prime is 505406333. The next prime is 505406353. The reversal of 505406352 is 253604505.

It is not an unprimeable number, because it can be changed into a prime (505406353) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1004533 + ... + 1005035.

Almost surely, 2^505406352 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 505406352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (723141216).

505406352 is an abundant number, since it is smaller than the sum of its proper divisors (940876080).

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

505406352 is a wasteful number, since it uses less digits than its factorization.

505406352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 709 (or 692 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 30.

The square root of 505406352 is about 22481.2444495406. The cubic root of 505406352 is about 796.5509598554.

The spelling of 505406352 in words is "five hundred five million, four hundred six thousand, three hundred fifty-two".