465810228 has 144 divisors (see below), whose sum is σ = 1318437120. Its totient is φ = 137749248.

The previous prime is 465810221. The next prime is 465810229. The reversal of 465810228 is 822018564.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 465810192 and 465810201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (465810221) 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, 1589650 + ... + 1589942.

Almost surely, 2^465810228 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 465810228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (659218560).

465810228 is an abundant number, since it is smaller than the sum of its proper divisors (852626892).

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

465810228 is a wasteful number, since it uses less digits than its factorization.

465810228 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 438 (or 433 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 465810228 is about 21582.6371882585. The cubic root of 465810228 is about 775.1807988867.

The spelling of 465810228 in words is "four hundred sixty-five million, eight hundred ten thousand, two hundred twenty-eight".