460545300 has 216 divisors, whose sum is σ = 1579398912. Its totient is φ = 111744000.

The previous prime is 460545299. The next prime is 460545301. The reversal of 460545300 is 3545064.

460545300 is a `hidden beast` number, since 4 + 605 + 4 + 53 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (460545299) and next prime (460545301).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (460545301) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 473815 + ... + 474785.

It is an arithmetic number, because the mean of its divisors is an integer number (7312032).

Almost surely, 2^460545300 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 460545300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (789699456).

460545300 is an abundant number, since it is smaller than the sum of its proper divisors (1118853612).

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

460545300 is a wasteful number, since it uses less digits than its factorization.

460545300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1039 (or 1029 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 460545300 is about 21460.3191961350. The cubic root of 460545300 is about 772.2491723443.

The spelling of 460545300 in words is "four hundred sixty million, five hundred forty-five thousand, three hundred".