460653700 has 144 divisors (see below), whose sum is σ = 1130889424. Its totient is φ = 161740800.

The previous prime is 460653671. The next prime is 460653701. The reversal of 460653700 is 7356064.

It can be written as a sum of positive squares in 24 ways, for example, as 428572804 + 32080896 = 20702^2 + 5664^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (460653701) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2934022 + ... + 2934178.

Almost surely, 2^460653700 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 460653700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (565444712).

460653700 is an abundant number, since it is smaller than the sum of its proper divisors (670235724).

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

460653700 is a wasteful number, since it uses less digits than its factorization.

460653700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 31.

The square root of 460653700 is about 21462.8446390501. The cubic root of 460653700 is about 772.3097564992.

The spelling of 460653700 in words is "four hundred sixty million, six hundred fifty-three thousand, seven hundred".