505434504 has 128 divisors (see below), whose sum is σ = 1414512000. Its totient is φ = 149796864.

The previous prime is 505434481. The next prime is 505434521. The reversal of 505434504 is 405434505.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 488772 + ... + 489804.

It is an arithmetic number, because the mean of its divisors is an integer number (11050875).

Almost surely, 2^505434504 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 505434504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (707256000).

505434504 is an abundant number, since it is smaller than the sum of its proper divisors (909077496).

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

505434504 is a wasteful number, since it uses less digits than its factorization.

505434504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1127 (or 1123 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 30.

The square root of 505434504 is about 22481.8705627446. The cubic root of 505434504 is about 796.5657493320.

Subtracting from 505434504 its reverse (405434505), we obtain a palindrome (99999999).

The spelling of 505434504 in words is "five hundred five million, four hundred thirty-four thousand, five hundred four".