1468874200 has 96 divisors (see below), whose sum is σ = 3516649920. Its totient is φ = 570240000.

The previous prime is 1468874189. The next prime is 1468874203. The reversal of 1468874200 is 24788641.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1468874203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2221870 + ... + 2222530.

It is an arithmetic number, because the mean of its divisors is an integer number (36631770).

Almost surely, 2^1468874200 is an apocalyptic number.

1468874200 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 1468874200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1758324960).

1468874200 is an abundant number, since it is smaller than the sum of its proper divisors (2047775720).

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

1468874200 is a wasteful number, since it uses less digits than its factorization.

1468874200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 989 (or 980 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 40.

The square root of 1468874200 is about 38325.8946405691. The cubic root of 1468874200 is about 1136.7410257232.

It can be divided in two parts, 14688 and 74200, that added together give a palindrome (88888).

The spelling of 1468874200 in words is "one billion, four hundred sixty-eight million, eight hundred seventy-four thousand, two hundred".