505303434 has 112 divisors (see below), whose sum is σ = 1189883520. Its totient is φ = 160729920.

The previous prime is 505303429. The next prime is 505303451. The reversal of 505303434 is 434303505.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 505303398 and 505303407.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 4722409 + ... + 4722515.

It is an arithmetic number, because the mean of its divisors is an integer number (10623960).

Almost surely, 2^505303434 is an apocalyptic number.

505303434 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 505303434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (594941760).

505303434 is an abundant number, since it is smaller than the sum of its proper divisors (684580086).

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

505303434 is a wasteful number, since it uses less digits than its factorization.

505303434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 27.

The square root of 505303434 is about 22478.9553582901. The cubic root of 505303434 is about 796.4968878553.

Adding to 505303434 its reverse (434303505), we get a palindrome (939606939).

The spelling of 505303434 in words is "five hundred five million, three hundred three thousand, four hundred thirty-four".