505418160 has 240 divisors, whose sum is σ = 1798840224. Its totient is φ = 116932608.

The previous prime is 505418159. The next prime is 505418161. The reversal of 505418160 is 61814505.

It is an interprime number because it is at equal distance from previous prime (505418159) and next prime (505418161).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (505418161) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 689154 + ... + 689886.

Almost surely, 2^505418160 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 505418160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (899420112).

505418160 is an abundant number, since it is smaller than the sum of its proper divisors (1293422064).

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

505418160 is a wasteful number, since it uses less digits than its factorization.

505418160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 792 (or 773 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 30.

The square root of 505418160 is about 22481.5070669206. The cubic root of 505418160 is about 796.5571631810.

The spelling of 505418160 in words is "five hundred five million, four hundred eighteen thousand, one hundred sixty".