1468600320 has 416 divisors, whose sum is σ = 5350230144. Its totient is φ = 340787200.

The previous prime is 1468600271. The next prime is 1468600321. The reversal of 1468600320 is 230068641.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1468600321) 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, 27709414 + ... + 27709466.

Almost surely, 2^1468600320 is an apocalyptic number.

1468600320 is a gapful number since it is divisible by the number (10) 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 1468600320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2675115072).

1468600320 is an abundant number, since it is smaller than the sum of its proper divisors (3881629824).

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

1468600320 is a wasteful number, since it uses less digits than its factorization.

1468600320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 1468600320 is about 38322.3214328151. The cubic root of 1468600320 is about 1136.6703707087.

Adding to 1468600320 its reverse (230068641), we get a palindrome (1698668961).

The spelling of 1468600320 in words is "one billion, four hundred sixty-eight million, six hundred thousand, three hundred twenty".