1468221300 has 486 divisors, whose sum is σ = 5826318498. Its totient is φ = 308206080.

The previous prime is 1468221289. The next prime is 1468221319. The reversal of 1468221300 is 31228641.

It can be written as a sum of positive squares in 9 ways, for example, as 473323536 + 994897764 = 21756^2 + 31542^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 161 ways as a sum of consecutive naturals, for example, 7452802 + ... + 7452998.

Almost surely, 2^1468221300 is an apocalyptic number.

1468221300 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 1468221300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2913159249).

1468221300 is an abundant number, since it is smaller than the sum of its proper divisors (4358097198).

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

1468221300 is a wasteful number, since it uses less digits than its factorization.

1468221300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 1468221300 is about 38317.3759539977. The cubic root of 1468221300 is about 1136.5725773958.

Adding to 1468221300 its reverse (31228641), we get a palindrome (1499449941).

The spelling of 1468221300 in words is "one billion, four hundred sixty-eight million, two hundred twenty-one thousand, three hundred".