505460736 has 240 divisors, whose sum is σ = 1652971320. Its totient is φ = 152616960.

The previous prime is 505460689. The next prime is 505460741. The reversal of 505460736 is 637064505.

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

It is a self number, because there is not a number n which added to its sum of digits gives 505460736.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1824630 + ... + 1824906.

Almost surely, 2^505460736 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 505460736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (826485660).

505460736 is an abundant number, since it is smaller than the sum of its proper divisors (1147510584).

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

505460736 is a wasteful number, since it uses less digits than its factorization.

505460736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The square root of 505460736 is about 22482.4539585873. The cubic root of 505460736 is about 796.5795296544.

The spelling of 505460736 in words is "five hundred five million, four hundred sixty thousand, seven hundred thirty-six".