460275200 has 240 divisors, whose sum is σ = 1424801664. Its totient is φ = 143155200.

The previous prime is 460275191. The next prime is 460275203. The reversal of 460275200 is 2572064.

It is a self number, because there is not a number n which added to its sum of digits gives 460275200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (460275203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 985367 + ... + 985833.

Almost surely, 2^460275200 is an apocalyptic number.

460275200 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 460275200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (712400832).

460275200 is an abundant number, since it is smaller than the sum of its proper divisors (964526464).

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

460275200 is a wasteful number, since it uses less digits than its factorization.

460275200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 513 (or 492 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 26.

The square root of 460275200 is about 21454.0252633393. The cubic root of 460275200 is about 772.0981735960.

The spelling of 460275200 in words is "four hundred sixty million, two hundred seventy-five thousand, two hundred".