460044200 has 96 divisors (see below), whose sum is σ = 1333575360. Its totient is φ = 143385600.

The previous prime is 460044163. The next prime is 460044203. The reversal of 460044200 is 2440064.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (460044203) 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, 464 + ... + 30336.

It is an arithmetic number, because the mean of its divisors is an integer number (13891410).

Almost surely, 2^460044200 is an apocalyptic number.

460044200 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 460044200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (666787680).

460044200 is an abundant number, since it is smaller than the sum of its proper divisors (873531160).

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

460044200 is a wasteful number, since it uses less digits than its factorization.

460044200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29907 (or 29898 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 460044200 is about 21448.6409825891. The cubic root of 460044200 is about 771.9689867359.

Adding to 460044200 its reverse (2440064), we get a palindrome (462484264).

The spelling of 460044200 in words is "four hundred sixty million, forty-four thousand, two hundred".