505774080 has 384 divisors, whose sum is σ = 2044692000. Its totient is φ = 115605504.

The previous prime is 505774067. The next prime is 505774081. The reversal of 505774080 is 80477505.

505774080 is a `hidden beast` number, since 5 + 0 + 577 + 4 + 0 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505774081) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 72253437 + ... + 72253443.

Almost surely, 2^505774080 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 505774080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1022346000).

505774080 is an abundant number, since it is smaller than the sum of its proper divisors (1538917920).

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

505774080 is an frugal number, since it uses more digits than its factorization.

505774080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 39200, while the sum is 36.

The square root of 505774080 is about 22489.4215132360. The cubic root of 505774080 is about 796.7441002058.

The spelling of 505774080 in words is "five hundred five million, seven hundred seventy-four thousand, eighty".