505058000 has 80 divisors (see below), whose sum is σ = 1285602240. Its totient is φ = 191376000.

The previous prime is 505057963. The next prime is 505058009. The reversal of 505058000 is 850505.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×505058000³ (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505058009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31355 + ... + 44645.

It is an arithmetic number, because the mean of its divisors is an integer number (16070028).

Almost surely, 2^505058000 is an apocalyptic number.

505058000 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 505058000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (642801120).

505058000 is an abundant number, since it is smaller than the sum of its proper divisors (780544240).

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

505058000 is a wasteful number, since it uses less digits than its factorization.

505058000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13333 (or 13317 counting only the distinct ones).

The product of its (nonzero) digits is 1000, while the sum is 23.

The square root of 505058000 is about 22473.4955002554. The cubic root of 505058000 is about 796.3679098571.

The spelling of 505058000 in words is "five hundred five million, fifty-eight thousand".