321360480 has 192 divisors, whose sum is σ = 1285562880. Its totient is φ = 73446912.

The previous prime is 321360467. The next prime is 321360497. The reversal of 321360480 is 84063123.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 24927 + ... + 35553.

It is an arithmetic number, because the mean of its divisors is an integer number (6695640).

Almost surely, 2^321360480 is an apocalyptic number.

321360480 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 321360480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (642781440).

321360480 is an abundant number, since it is smaller than the sum of its proper divisors (964202400).

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

321360480 is a wasteful number, since it uses less digits than its factorization.

321360480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10658 (or 10644 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 321360480 is about 17926.5300602208. The cubic root of 321360480 is about 684.9583365712.

The spelling of 321360480 in words is "three hundred twenty-one million, three hundred sixty thousand, four hundred eighty".