1324318464 has 288 divisors, whose sum is σ = 4536698880. Its totient is φ = 373248000.

The previous prime is 1324318459. The next prime is 1324318493. The reversal of 1324318464 is 4648134231.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (55296) is a multiple of the sum of its prime divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4886649 + ... + 4886919.

Almost surely, 2^1324318464 is an apocalyptic number.

1324318464 is a gapful number since it is divisible by the number (14) 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 1324318464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2268349440).

1324318464 is an abundant number, since it is smaller than the sum of its proper divisors (3212380416).

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

1324318464 is a wasteful number, since it uses less digits than its factorization.

1324318464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404 (or 384 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 1324318464 is about 36391.1866253355. The cubic root of 1324318464 is about 1098.1562678839.

The spelling of 1324318464 in words is "one billion, three hundred twenty-four million, three hundred eighteen thousand, four hundred sixty-four".