507897360 has 240 divisors, whose sum is σ = 1815240960. Its totient is φ = 126904320.

The previous prime is 507897359. The next prime is 507897367. The reversal of 507897360 is 63798705.

It is a happy number.

507897360 is a `hidden beast` number, since 507 + 89 + 7 + 3 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (507897367) 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 47 ways as a sum of consecutive naturals, for example, 1874025 + ... + 1874295.

It is an arithmetic number, because the mean of its divisors is an integer number (7563504).

Almost surely, 2^507897360 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 507897360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (907620480).

507897360 is an abundant number, since it is smaller than the sum of its proper divisors (1307343600).

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

507897360 is a wasteful number, since it uses less digits than its factorization.

507897360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 446 (or 437 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The square root of 507897360 is about 22536.5782673413. The cubic root of 507897360 is about 797.8574754414.

The spelling of 507897360 in words is "five hundred seven million, eight hundred ninety-seven thousand, three hundred sixty".