505062864 has 280 divisors, whose sum is σ = 1610120160. Its totient is φ = 152845056.

The previous prime is 505062827. The next prime is 505062919. The reversal of 505062864 is 468260505.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 9529462 + ... + 9529514.

Almost surely, 2^505062864 is an apocalyptic number.

505062864 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 505062864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (805060080).

505062864 is an abundant number, since it is smaller than the sum of its proper divisors (1105057296).

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

505062864 is a wasteful number, since it uses less digits than its factorization.

505062864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 505062864 is about 22473.6037163602. The cubic root of 505062864 is about 796.3704663431.

The spelling of 505062864 in words is "five hundred five million, sixty-two thousand, eight hundred sixty-four".