505415680 has 192 divisors, whose sum is σ = 1514298240. Its totient is φ = 157286400.

The previous prime is 505415657. The next prime is 505415681. The reversal of 505415680 is 86514505.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505415681) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 788160 + ... + 788800.

It is an arithmetic number, because the mean of its divisors is an integer number (7886970).

Almost surely, 2^505415680 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 505415680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (757149120).

505415680 is an abundant number, since it is smaller than the sum of its proper divisors (1008882560).

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

505415680 is a wasteful number, since it uses less digits than its factorization.

505415680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 686 (or 666 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 34.

The square root of 505415680 is about 22481.4519104083. The cubic root of 505415680 is about 796.5558603225. Note that the first 3 decimals are identical.

The spelling of 505415680 in words is "five hundred five million, four hundred fifteen thousand, six hundred eighty".