321681480 has 128 divisors (see below), whose sum is σ = 1030164480. Its totient is φ = 80076800.

The previous prime is 321681461. The next prime is 321681559. The reversal of 321681480 is 84186123.

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, 278905 + ... + 280055.

It is an arithmetic number, because the mean of its divisors is an integer number (8048160).

Almost surely, 2^321681480 is an apocalyptic number.

321681480 is a gapful number since it is divisible by the number (30) 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 321681480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (515082240).

321681480 is an abundant number, since it is smaller than the sum of its proper divisors (708483000).

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

321681480 is a wasteful number, since it uses less digits than its factorization.

321681480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1319 (or 1315 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 321681480 is about 17935.4810362031. The cubic root of 321681480 is about 685.1863240100.

The spelling of 321681480 in words is "three hundred twenty-one million, six hundred eighty-one thousand, four hundred eighty".