1468194600 has 192 divisors, whose sum is σ = 4957272000. Its totient is φ = 358041600.

The previous prime is 1468194569. The next prime is 1468194643. The reversal of 1468194600 is 64918641.

1468194600 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 328380 + ... + 332820.

It is an arithmetic number, because the mean of its divisors is an integer number (25819125).

Almost surely, 2^1468194600 is an apocalyptic number.

1468194600 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 1468194600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2478636000).

1468194600 is an abundant number, since it is smaller than the sum of its proper divisors (3489077400).

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

1468194600 is a wasteful number, since it uses less digits than its factorization.

1468194600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4508 (or 4499 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The square root of 1468194600 is about 38317.0275465099. The cubic root of 1468194600 is about 1136.5656877278.

The spelling of 1468194600 in words is "one billion, four hundred sixty-eight million, one hundred ninety-four thousand, six hundred".