505212000 has 96 divisors (see below), whose sum is σ = 1655113824. Its totient is φ = 134720000.

The previous prime is 505211983. The next prime is 505212007. The reversal of 505212000 is 212505.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505212007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9051 + ... + 33050.

It is an arithmetic number, because the mean of its divisors is an integer number (17240769).

Almost surely, 2^505212000 is an apocalyptic number.

505212000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

505212000 is an abundant number, since it is smaller than the sum of its proper divisors (1149901824).

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

505212000 is a wasteful number, since it uses less digits than its factorization.

505212000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42129 (or 42111 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 15.

The square root of 505212000 is about 22476.9214973937. The cubic root of 505212000 is about 796.4488432649.

Adding to 505212000 its reverse (212505), we get a palindrome (505424505).

The spelling of 505212000 in words is "five hundred five million, two hundred twelve thousand".