465400200 has 96 divisors (see below), whose sum is σ = 1450576800. Its totient is φ = 123432960.

The previous prime is 465400141. The next prime is 465400219. The reversal of 465400200 is 2004564.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 113791 + ... + 117809.

It is an arithmetic number, because the mean of its divisors is an integer number (15110175).

Almost surely, 2^465400200 is an apocalyptic number.

465400200 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 465400200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (725288400).

465400200 is an abundant number, since it is smaller than the sum of its proper divisors (985176600).

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

465400200 is a wasteful number, since it uses less digits than its factorization.

465400200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4231 (or 4222 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 465400200 is about 21573.1360724397. The cubic root of 465400200 is about 774.9532819566.

Adding to 465400200 its reverse (2004564), we get a palindrome (467404764).

The spelling of 465400200 in words is "four hundred sixty-five million, four hundred thousand, two hundred".