460597072 has 80 divisors (see below), whose sum is σ = 984312000. Its totient is φ = 207516672.

The previous prime is 460597003. The next prime is 460597091. The reversal of 460597072 is 270795064.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2573079 + ... + 2573257.

It is an arithmetic number, because the mean of its divisors is an integer number (12303900).

Almost surely, 2^460597072 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 460597072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (492156000).

460597072 is an abundant number, since it is smaller than the sum of its proper divisors (523714928).

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

460597072 is a wasteful number, since it uses less digits than its factorization.

460597072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 428 (or 422 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 40.

The square root of 460597072 is about 21461.5253884713. The cubic root of 460597072 is about 772.2781086119.

The spelling of 460597072 in words is "four hundred sixty million, five hundred ninety-seven thousand, seventy-two".