507699360 has 384 divisors, whose sum is σ = 2063093760. Its totient is φ = 114213888.

The previous prime is 507699341. The next prime is 507699371. The reversal of 507699360 is 63996705.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3114639 + ... + 3114801.

It is an arithmetic number, because the mean of its divisors is an integer number (5372640).

Almost surely, 2^507699360 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 507699360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1031546880).

507699360 is an abundant number, since it is smaller than the sum of its proper divisors (1555394400).

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

507699360 is a wasteful number, since it uses less digits than its factorization.

507699360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 306180, while the sum is 45.

The square root of 507699360 is about 22532.1849806005. The cubic root of 507699360 is about 797.7537823690.

The spelling of 507699360 in words is "five hundred seven million, six hundred ninety-nine thousand, three hundred sixty".