465609384 has 112 divisors (see below), whose sum is σ = 1354554900. Its totient is φ = 149796864.

The previous prime is 465609377. The next prime is 465609439. The reversal of 465609384 is 483906564.

465609384 is a `hidden beast` number, since 4 + 6 + 5 + 609 + 38 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 432224100 + 33385284 = 20790^2 + 5778^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 167752 + ... + 170504.

Almost surely, 2^465609384 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 465609384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (677277450).

465609384 is an abundant number, since it is smaller than the sum of its proper divisors (888945516).

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

465609384 is a wasteful number, since it uses less digits than its factorization.

465609384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2806 (or 2787 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The square root of 465609384 is about 21577.9837797696. The cubic root of 465609384 is about 775.0693709669.

The spelling of 465609384 in words is "four hundred sixty-five million, six hundred nine thousand, three hundred eighty-four".