464400242320 has 160 divisors (see below), whose sum is σ = 1251389905920. Its totient is φ = 156982026240.

The previous prime is 464400242297. The next prime is 464400242329. The reversal of 464400242320 is 23242004464.

It is not an unprimeable number, because it can be changed into a prime (464400242329) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32420760 + ... + 32435080.

It is an arithmetic number, because the mean of its divisors is an integer number (7821186912).

Almost surely, 2^464400242320 is an apocalyptic number.

464400242320 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 464400242320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (625694952960).

464400242320 is an abundant number, since it is smaller than the sum of its proper divisors (786989663600).

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

464400242320 is a wasteful number, since it uses less digits than its factorization.

464400242320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15153 (or 15147 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 31.

Adding to 464400242320 its reverse (23242004464), we get a palindrome (487642246784).

The spelling of 464400242320 in words is "four hundred sixty-four billion, four hundred million, two hundred forty-two thousand, three hundred twenty".