505206504 has 256 divisors, whose sum is σ = 1668096000. Its totient is φ = 140356800.

The previous prime is 505206497. The next prime is 505206509. The reversal of 505206504 is 405602505.

505206504 is a `hidden beast` number, since 5 + 0 + 5 + 2 + 0 + 650 + 4 = 666.

It is a super-2 number, since 2×505206504² = 510467223367804032, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (505206509) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16296969 + ... + 16296999.

It is an arithmetic number, because the mean of its divisors is an integer number (6516000).

Almost surely, 2^505206504 is an apocalyptic number.

505206504 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 505206504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (834048000).

505206504 is an abundant number, since it is smaller than the sum of its proper divisors (1162889496).

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

505206504 is a wasteful number, since it uses less digits than its factorization.

505206504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 66 counting only the distinct ones).

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

The square root of 505206504 is about 22476.7992383257. The cubic root of 505206504 is about 796.4459551713.

The spelling of 505206504 in words is "five hundred five million, two hundred six thousand, five hundred four".