505280160 has 768 divisors, whose sum is σ = 2322432000. Its totient is φ = 101606400.

The previous prime is 505280159. The next prime is 505280161. The reversal of 505280160 is 61082505.

It is an interprime number because it is at equal distance from previous prime (505280159) and next prime (505280161).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505280161) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 16299345 + ... + 16299375.

It is an arithmetic number, because the mean of its divisors is an integer number (3024000).

Almost surely, 2^505280160 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 505280160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1161216000).

505280160 is an abundant number, since it is smaller than the sum of its proper divisors (1817151840).

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

505280160 is a wasteful number, since it uses less digits than its factorization.

505280160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 505280160 is about 22478.4376681299. The cubic root of 505280160 is about 796.4846589304.

The spelling of 505280160 in words is "five hundred five million, two hundred eighty thousand, one hundred sixty".