505072000 has 64 divisors (see below), whose sum is σ = 1255775040. Its totient is φ = 202022400.

The previous prime is 505071997. The next prime is 505072121. The reversal of 505072000 is 270505.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 217 + ... + 31783.

It is an arithmetic number, because the mean of its divisors is an integer number (19621485).

Almost surely, 2^505072000 is an apocalyptic number.

505072000 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 505072000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (627887520).

505072000 is an abundant number, since it is smaller than the sum of its proper divisors (750703040).

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

505072000 is an equidigital number, since it uses as much as digits as its factorization.

505072000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31596 (or 31574 counting only the distinct ones).

The product of its (nonzero) digits is 350, while the sum is 19.

The square root of 505072000 is about 22473.8069761222. The cubic root of 505072000 is about 796.3752681194.

The spelling of 505072000 in words is "five hundred five million, seventy-two thousand".