321146496 has 96 divisors (see below), whose sum is σ = 1008184320. Its totient is φ = 97313280.

The previous prime is 321146479. The next prime is 321146503. The reversal of 321146496 is 694641123.

321146496 is a `hidden beast` number, since 3 + 2 + 1 + 1 + 4 + 649 + 6 = 666.

321146496 is a nontrivial binomial coefficient, being equal to C(25344, 2).

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 321146496.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1 + ... + 25343.

It is an arithmetic number, because the mean of its divisors is an integer number (10501920).

Almost surely, 2^321146496 is an apocalyptic number.

321146496 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

321146496 is the 25343-rd triangular number and also the 12672-nd hexagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 321146496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (504092160).

321146496 is an abundant number, since it is smaller than the sum of its proper divisors (687037824).

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

321146496 is a wasteful number, since it uses less digits than its factorization.

321146496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25374 (or 25359 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 321146496 is about 17920.5607055137. The cubic root of 321146496 is about 684.8062719605.

The spelling of 321146496 in words is "three hundred twenty-one million, one hundred forty-six thousand, four hundred ninety-six".