331305408 has 168 divisors, whose sum is σ = 1095524352. Its totient is φ = 93768192.

The previous prime is 331305407. The next prime is 331305421. The reversal of 331305408 is 804503133.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (168).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331305407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 511741 + ... + 512387.

Almost surely, 2^331305408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 331305408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (547762176).

331305408 is an abundant number, since it is smaller than the sum of its proper divisors (764218944).

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

331305408 is a wasteful number, since it uses less digits than its factorization.

331305408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 799 (or 786 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 331305408 is about 18201.7968343787. The cubic root of 331305408 is about 691.9523283453.

The spelling of 331305408 in words is "three hundred thirty-one million, three hundred five thousand, four hundred eight".