507270560 has 48 divisors (see below), whose sum is σ = 1209075336. Its totient is φ = 201105408.

The previous prime is 507270509. The next prime is 507270563. The reversal of 507270560 is 65072705.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 261533584 + 245736976 = 16172^2 + 15676^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (507270563) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4052 + ... + 32108.

Almost surely, 2^507270560 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 507270560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (604537668).

507270560 is an abundant number, since it is smaller than the sum of its proper divisors (701804776).

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

507270560 is a wasteful number, since it uses less digits than its factorization.

507270560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28185 (or 28177 counting only the distinct ones).

The product of its (nonzero) digits is 14700, while the sum is 32.

The square root of 507270560 is about 22522.6676927934. The cubic root of 507270560 is about 797.5291263361.

The spelling of 507270560 in words is "five hundred seven million, two hundred seventy thousand, five hundred sixty".