321171480 has 480 divisors, whose sum is σ = 1337292000. Its totient is φ = 69092352.

The previous prime is 321171469. The next prime is 321171503. The reversal of 321171480 is 84171123.

It is a super-2 number, since 2×321171480² = 206302239130780800, which contains 22 as substring.

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 119 ways as a sum of consecutive naturals, for example, 18892432 + ... + 18892448.

It is an arithmetic number, because the mean of its divisors is an integer number (2786025).

Almost surely, 2^321171480 is an apocalyptic number.

321171480 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 321171480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (668646000).

321171480 is an abundant number, since it is smaller than the sum of its proper divisors (1016120520).

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

321171480 is a wasteful number, since it uses less digits than its factorization.

321171480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 321171480 is about 17921.2577683599. The cubic root of 321171480 is about 684.8240299582.

It can be divided in two parts, 3211 and 71480, that added together give a triangular number (74691 = T₃₈₆).

The spelling of 321171480 in words is "three hundred twenty-one million, one hundred seventy-one thousand, four hundred eighty".