322296480 has 144 divisors (see below), whose sum is σ = 1199880864. Its totient is φ = 78128640.

The previous prime is 322296479. The next prime is 322296497. The reversal of 322296480 is 84692223.

322296480 is a `hidden beast` number, since 3 + 2 + 2 + 2 + 9 + 648 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5667 + ... + 26013.

It is an arithmetic number, because the mean of its divisors is an integer number (8332506).

Almost surely, 2^322296480 is an apocalyptic number.

322296480 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 322296480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (599940432).

322296480 is an abundant number, since it is smaller than the sum of its proper divisors (877584384).

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

322296480 is a wasteful number, since it uses less digits than its factorization.

322296480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20379 (or 20368 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 322296480 is about 17952.6176364340. The cubic root of 322296480 is about 685.6226990774.

The spelling of 322296480 in words is "three hundred twenty-two million, two hundred ninety-six thousand, four hundred eighty".