468090400000 has 108 divisors (see below), whose sum is σ = 1167867650124. Its totient is φ = 187235840000.

The previous prime is 468090399971. The next prime is 468090400003. The reversal of 468090400000 is 4090864.

It can be written as a sum of positive squares in 6 ways, for example, as 386147902464 + 81942497536 = 621408^2 + 286256^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (468090400003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 507444 + ... + 1092556.

It is an arithmetic number, because the mean of its divisors is an integer number (10813589353).

Almost surely, 2^468090400000 is an apocalyptic number.

468090400000 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 468090400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (583933825062).

468090400000 is an abundant number, since it is smaller than the sum of its proper divisors (699777250124).

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

468090400000 is an frugal number, since it uses more digits than its factorization.

468090400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 585154 (or 585120 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

Adding to 468090400000 its reverse (4090864), we get a palindrome (468094490864).

The spelling of 468090400000 in words is "four hundred sixty-eight billion, ninety million, four hundred thousand".