460725643500 has 192 divisors, whose sum is σ = 1361765723136. Its totient is φ = 121029120000.

The previous prime is 460725643489. The next prime is 460725643513. The reversal of 460725643500 is 5346527064.

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, 29810775 + ... + 29826225.

It is an arithmetic number, because the mean of its divisors is an integer number (7092529808).

Almost surely, 2^460725643500 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 460725643500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (680882861568).

460725643500 is an abundant number, since it is smaller than the sum of its proper divisors (901040079636).

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

460725643500 is a wasteful number, since it uses less digits than its factorization.

460725643500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15769 (or 15757 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 42.

The spelling of 460725643500 in words is "four hundred sixty billion, seven hundred twenty-five million, six hundred forty-three thousand, five hundred".