1468938240 has 960 divisors, whose sum is σ = 6849722880. Its totient is φ = 291962880.

The previous prime is 1468938197. The next prime is 1468938259. The reversal of 1468938240 is 428398641.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 63866869 + ... + 63866891.

It is an arithmetic number, because the mean of its divisors is an integer number (7135128).

Almost surely, 2^1468938240 is an apocalyptic number.

1468938240 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 1468938240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3424861440).

1468938240 is an abundant number, since it is smaller than the sum of its proper divisors (5380784640).

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

1468938240 is a wasteful number, since it uses less digits than its factorization.

1468938240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 1468938240 is about 38326.7300979356. The cubic root of 1468938240 is about 1136.7575453674.

The spelling of 1468938240 in words is "one billion, four hundred sixty-eight million, nine hundred thirty-eight thousand, two hundred forty".