1468339200 has 198 divisors, whose sum is σ = 5258173934. Its totient is φ = 391495680.

The previous prime is 1468339199. The next prime is 1468339219. The reversal of 1468339200 is 29338641.

It can be written as a sum of positive squares in 3 ways, for example, as 253956096 + 1214383104 = 15936^2 + 34848^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 227214 + ... + 233586.

Almost surely, 2^1468339200 is an apocalyptic number.

1468339200 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 1468339200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2629086967).

1468339200 is an abundant number, since it is smaller than the sum of its proper divisors (3789834734).

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

1468339200 is a wasteful number, since it uses less digits than its factorization.

1468339200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6409 (or 6383 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 1468339200 is about 38318.9143896327. The cubic root of 1468339200 is about 1136.6029993130.

The spelling of 1468339200 in words is "one billion, four hundred sixty-eight million, three hundred thirty-nine thousand, two hundred".