460244200 has 96 divisors (see below), whose sum is σ = 1158910200. Its totient is φ = 168975360.

The previous prime is 460244189. The next prime is 460244203. The reversal of 460244200 is 2442064.

It can be written as a sum of positive squares in 12 ways, for example, as 1170724 + 459073476 = 1082^2 + 21426^2 .

It is not an unprimeable number, because it can be changed into a prime (460244203) 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, 595014 + ... + 595786.

Almost surely, 2^460244200 is an apocalyptic number.

460244200 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 460244200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (579455100).

460244200 is an abundant number, since it is smaller than the sum of its proper divisors (698666000).

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

460244200 is a wasteful number, since it uses less digits than its factorization.

460244200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1031 (or 1022 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 460244200 is about 21453.3027760296. The cubic root of 460244200 is about 772.0808393427.

Adding to 460244200 its reverse (2442064), we get a palindrome (462686264).

The spelling of 460244200 in words is "four hundred sixty million, two hundred forty-four thousand, two hundred".