505678464 has 320 divisors, whose sum is σ = 1688385600. Its totient is φ = 149299200.

The previous prime is 505678463. The next prime is 505678489. The reversal of 505678464 is 464876505.

505678464 is a `hidden beast` number, since 5 + 0 + 567 + 84 + 6 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505678463) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3348789 + ... + 3348939.

It is an arithmetic number, because the mean of its divisors is an integer number (5276205).

Almost surely, 2^505678464 is an apocalyptic number.

505678464 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 505678464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (844192800).

505678464 is an abundant number, since it is smaller than the sum of its proper divisors (1182707136).

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

505678464 is a wasteful number, since it uses less digits than its factorization.

505678464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The square root of 505678464 is about 22487.2956133013. The cubic root of 505678464 is about 796.6938891939.

The spelling of 505678464 in words is "five hundred five million, six hundred seventy-eight thousand, four hundred sixty-four".