505260000 has 360 divisors, whose sum is σ = 2057079024. Its totient is φ = 115200000.

The previous prime is 505259987. The next prime is 505260023. The reversal of 505260000 is 62505.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1259800 + ... + 1260200.

Almost surely, 2^505260000 is an apocalyptic number.

505260000 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 505260000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1028539512).

505260000 is an abundant number, since it is smaller than the sum of its proper divisors (1551819024).

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

505260000 is a wasteful number, since it uses less digits than its factorization.

505260000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 444 (or 418 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 505260000 is about 22477.9892339150. The cubic root of 505260000 is about 796.4740659000.

The spelling of 505260000 in words is "five hundred five million, two hundred sixty thousand".