465298608384 has 189 divisors, whose sum is σ = 1393414909383. Its totient is φ = 155001309696.

The previous prime is 465298608349. The next prime is 465298608407. The reversal of 465298608384 is 483806892564.

The square root of 465298608384 is 682128.

It is a perfect power (a square), and thus also a powerful number.

465298608384 is a `hidden beast` number, since 46 + 529 + 8 + 60 + 8 + 3 + 8 + 4 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 294678507 + ... + 294680085.

Almost surely, 2^465298608384 is an apocalyptic number.

465298608384 is the 682128-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 465298608384

465298608384 is an abundant number, since it is smaller than the sum of its proper divisors (928116300999).

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

465298608384 is an frugal number, since it uses more digits than its factorization.

465298608384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3192 (or 1584 counting only the distinct ones).

The product of its (nonzero) digits is 79626240, while the sum is 63.

The spelling of 465298608384 in words is "four hundred sixty-five billion, two hundred ninety-eight million, six hundred eight thousand, three hundred eighty-four".