505054336 has 64 divisors (see below), whose sum is σ = 1028674080. Its totient is φ = 246949888.

The previous prime is 505054327. The next prime is 505054349. The reversal of 505054336 is 633450505.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-3 number, since 3×505054336³ (a number of 27 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 505054298 and 505054307.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1455315 + ... + 1455661.

Almost surely, 2^505054336 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 505054336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (514337040).

505054336 is an abundant number, since it is smaller than the sum of its proper divisors (523619744).

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

505054336 is a wasteful number, since it uses less digits than its factorization.

505054336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 581 (or 569 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 31.

The square root of 505054336 is about 22473.4139818587. The cubic root of 505054336 is about 796.3659840723.

The spelling of 505054336 in words is "five hundred five million, fifty-four thousand, three hundred thirty-six".