505700352 has 168 divisors, whose sum is σ = 1541967960. Its totient is φ = 159694848.

The previous prime is 505700329. The next prime is 505700353. The reversal of 505700352 is 253007505.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505700353) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26615799 + ... + 26615817.

Almost surely, 2^505700352 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 505700352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (770983980).

505700352 is an abundant number, since it is smaller than the sum of its proper divisors (1036267608).

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

505700352 is an frugal number, since it uses more digits than its factorization.

505700352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 24 counting only the distinct ones).

The product of its (nonzero) digits is 5250, while the sum is 27.

The square root of 505700352 is about 22487.7822828308. The cubic root of 505700352 is about 796.7053838395.

Adding to 505700352 its reverse (253007505), we get a palindrome (758707857).

The spelling of 505700352 in words is "five hundred five million, seven hundred thousand, three hundred fifty-two".