1321604480 has 384 divisors, whose sum is σ = 4056311520. Its totient is φ = 408748032.

The previous prime is 1321604461. The next prime is 1321604503. The reversal of 1321604480 is 844061231.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19725407 + ... + 19725473.

Almost surely, 2^1321604480 is an apocalyptic number.

1321604480 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 1321604480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2028155760).

1321604480 is an abundant number, since it is smaller than the sum of its proper divisors (2734707040).

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

1321604480 is a wasteful number, since it uses less digits than its factorization.

1321604480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

The square root of 1321604480 is about 36353.8784725922. The cubic root of 1321604480 is about 1097.4055882242.

The spelling of 1321604480 in words is "one billion, three hundred twenty-one million, six hundred four thousand, four hundred eighty".