507346560 has 192 divisors, whose sum is σ = 2002366080. Its totient is φ = 115955712.

The previous prime is 507346559. The next prime is 507346601. The reversal of 507346560 is 65643705.

507346560 is a `hidden beast` number, since 50 + 7 + 3 + 46 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34029 + ... + 46611.

It is an arithmetic number, because the mean of its divisors is an integer number (10428990).

Almost surely, 2^507346560 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 507346560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1001183040).

507346560 is an abundant number, since it is smaller than the sum of its proper divisors (1495019520).

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

507346560 is a wasteful number, since it uses less digits than its factorization.

507346560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12615 (or 12600 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The square root of 507346560 is about 22524.3548187290. The cubic root of 507346560 is about 797.5689533315.

The spelling of 507346560 in words is "five hundred seven million, three hundred forty-six thousand, five hundred sixty".