465217730400 has 288 divisors, whose sum is σ = 1540786883328. Its totient is φ = 121898649600.

The previous prime is 465217730381. The next prime is 465217730407. The reversal of 465217730400 is 4037712564.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (465217730407) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 52308354 + ... + 52317246.

It is an arithmetic number, because the mean of its divisors is an integer number (5349954456).

Almost surely, 2^465217730400 is an apocalyptic number.

465217730400 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 465217730400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (770393441664).

465217730400 is an abundant number, since it is smaller than the sum of its proper divisors (1075569152928).

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

465217730400 is a wasteful number, since it uses less digits than its factorization.

465217730400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9294 (or 9281 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 39.

The spelling of 465217730400 in words is "four hundred sixty-five billion, two hundred seventeen million, seven hundred thirty thousand, four hundred".