1468328500 has 24 divisors (see below), whose sum is σ = 3206830536. Its totient is φ = 587331200.

The previous prime is 1468328489. The next prime is 1468328501. The reversal of 1468328500 is 58238641.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 132572196 + 1335756304 = 11514^2 + 36548^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1468328500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1468328501) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1467829 + ... + 1468828.

It is an arithmetic number, because the mean of its divisors is an integer number (133617939).

Almost surely, 2^1468328500 is an apocalyptic number.

1468328500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1468328500 is an abundant number, since it is smaller than the sum of its proper divisors (1738502036).

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

1468328500 is a wasteful number, since it uses less digits than its factorization.

1468328500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2936676 (or 2936664 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 37.

The square root of 1468328500 is about 38318.7747716443. The cubic root of 1468328500 is about 1136.6002384428.

The spelling of 1468328500 in words is "one billion, four hundred sixty-eight million, three hundred twenty-eight thousand, five hundred".