505514000 has 160 divisors (see below), whose sum is σ = 1316165760. Its totient is φ = 187200000.

The previous prime is 505513997. The next prime is 505514029. The reversal of 505514000 is 415505.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2013875 + ... + 2014125.

It is an arithmetic number, because the mean of its divisors is an integer number (8226036).

Almost surely, 2^505514000 is an apocalyptic number.

505514000 is a gapful number since it is divisible by the number (50) 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 505514000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (658082880).

505514000 is an abundant number, since it is smaller than the sum of its proper divisors (810651760).

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

505514000 is a wasteful number, since it uses less digits than its factorization.

505514000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 500, while the sum is 20.

The square root of 505514000 is about 22483.6384955816. The cubic root of 505514000 is about 796.6075090923.

Adding to 505514000 its reverse (415505), we get a palindrome (505929505).

The spelling of 505514000 in words is "five hundred five million, five hundred fourteen thousand".