505572480 has 192 divisors, whose sum is σ = 1995364800. Its totient is φ = 115550208.

The previous prime is 505572479. The next prime is 505572491. The reversal of 505572480 is 84275505.

It is a happy number.

505572480 is a `hidden beast` number, since 5 + 0 + 5 + 572 + 4 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-3 number, since 3×505572480³ (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34051 + ... + 46589.

It is an arithmetic number, because the mean of its divisors is an integer number (10392525).

Almost surely, 2^505572480 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 505572480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (997682400).

505572480 is an abundant number, since it is smaller than the sum of its proper divisors (1489792320).

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

505572480 is a wasteful number, since it uses less digits than its factorization.

505572480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12571 (or 12556 counting only the distinct ones).

The product of its (nonzero) digits is 56000, while the sum is 36.

The square root of 505572480 is about 22484.9389592233. The cubic root of 505572480 is about 796.6382262177.

It can be divided in two parts, 505 and 572480, that added together give a triangular number (572985 = T₁₀₇₀).

The spelling of 505572480 in words is "five hundred five million, five hundred seventy-two thousand, four hundred eighty".