505260504 has 320 divisors, whose sum is σ = 1756339200. Its totient is φ = 132523776.

The previous prime is 505260491. The next prime is 505260529. The reversal of 505260504 is 405062505.

505260504 is a `hidden beast` number, since 5 + 0 + 52 + 605 + 0 + 4 = 666.

It is a super-3 number, since 3×505260504³ (a number of 27 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3025429 + ... + 3025595.

It is an arithmetic number, because the mean of its divisors is an integer number (5488560).

Almost surely, 2^505260504 is an apocalyptic number.

505260504 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 505260504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (878169600).

505260504 is an abundant number, since it is smaller than the sum of its proper divisors (1251078696).

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

505260504 is a wasteful number, since it uses less digits than its factorization.

505260504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 505260504 is about 22478.0004448794. Note that the first 3 decimals coincide. The cubic root of 505260504 is about 796.4743307292.

It can be divided in two parts, 5052 and 60504, that added together give a palindrome (65556).

The spelling of 505260504 in words is "five hundred five million, two hundred sixty thousand, five hundred four".