326449152 has 144 divisors (see below), whose sum is σ = 958230000. Its totient is φ = 107053056.

The previous prime is 326449141. The next prime is 326449157. The reversal of 326449152 is 251944623.

It is a happy number.

326449152 is a `hidden beast` number, since 3 + 2 + 644 + 9 + 1 + 5 + 2 = 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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (326449157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1640349 + ... + 1640547.

It is an arithmetic number, because the mean of its divisors is an integer number (6654375).

Almost surely, 2^326449152 is an apocalyptic number.

326449152 is a gapful number since it is divisible by the number (32) 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 326449152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (479115000).

326449152 is an abundant number, since it is smaller than the sum of its proper divisors (631780848).

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

326449152 is a wasteful number, since it uses less digits than its factorization.

326449152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316 (or 293 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 326449152 is about 18067.9039182745. The cubic root of 326449152 is about 688.5548075722.

The spelling of 326449152 in words is "three hundred twenty-six million, four hundred forty-nine thousand, one hundred fifty-two".