507668460 has 192 divisors, whose sum is σ = 1585059840. Its totient is φ = 120637440.

The previous prime is 507668459. The next prime is 507668471. The reversal of 507668460 is 64866705.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4928769 + ... + 4928871.

It is an arithmetic number, because the mean of its divisors is an integer number (8255520).

Almost surely, 2^507668460 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 507668460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (792529920).

507668460 is an abundant number, since it is smaller than the sum of its proper divisors (1077391380).

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

507668460 is a wasteful number, since it uses less digits than its factorization.

507668460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The square root of 507668460 is about 22531.4992843353. The cubic root of 507668460 is about 797.7375975334.

It can be divided in two parts, 5076 and 68460, that added together give a triangular number (73536 = T₃₈₃).

The spelling of 507668460 in words is "five hundred seven million, six hundred sixty-eight thousand, four hundred sixty".