1464488480 has 144 divisors (see below), whose sum is σ = 4334624280. Its totient is φ = 463454208.

The previous prime is 1464488461. The next prime is 1464488497. The reversal of 1464488480 is 848844641.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 988725136 + 475763344 = 31444^2 + 21812^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 94736 + ... + 109104.

Almost surely, 2^1464488480 is an apocalyptic number.

1464488480 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 1464488480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2167312140).

1464488480 is an abundant number, since it is smaller than the sum of its proper divisors (2870135800).

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

1464488480 is a wasteful number, since it uses less digits than its factorization.

1464488480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14411 (or 14396 counting only the distinct ones).

The product of its (nonzero) digits is 786432, while the sum is 47.

The square root of 1464488480 is about 38268.6357216977. The cubic root of 1464488480 is about 1135.6085489194.

The spelling of 1464488480 in words is "one billion, four hundred sixty-four million, four hundred eighty-eight thousand, four hundred eighty".