460570240 has 128 divisors (see below), whose sum is σ = 1196007120. Its totient is φ = 168591360.

The previous prime is 460570217. The next prime is 460570277. The reversal of 460570240 is 42075064.

It can be written as a sum of positive squares in 8 ways, for example, as 296115264 + 164454976 = 17208^2 + 12824^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 460570199 and 460570208.

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, 1638900 + ... + 1639180.

Almost surely, 2^460570240 is an apocalyptic number.

460570240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 460570240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (598003560).

460570240 is an abundant number, since it is smaller than the sum of its proper divisors (735436880).

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

460570240 is a wasteful number, since it uses less digits than its factorization.

460570240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 510 (or 498 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 28.

The square root of 460570240 is about 21460.9002607067. The cubic root of 460570240 is about 772.2631120130.

The spelling of 460570240 in words is "four hundred sixty million, five hundred seventy thousand, two hundred forty".