321459840 has 448 divisors, whose sum is σ = 1264251240. Its totient is φ = 77635584.

The previous prime is 321459821. The next prime is 321459869. The reversal of 321459840 is 48954123.

321459840 is a `hidden beast` number, since 3 + 21 + 4 + 598 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 235192896 + 86266944 = 15336^2 + 9288^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 321459795 and 321459804.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 6065254 + ... + 6065306.

Almost surely, 2^321459840 is an apocalyptic number.

321459840 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 321459840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (632125620).

321459840 is an abundant number, since it is smaller than the sum of its proper divisors (942791400).

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

321459840 is an equidigital number, since it uses as much as digits as its factorization.

321459840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 321459840 is about 17929.3011576023. The cubic root of 321459840 is about 685.0289223585.

The spelling of 321459840 in words is "three hundred twenty-one million, four hundred fifty-nine thousand, eight hundred forty".