320400496 has 120 divisors (see below), whose sum is σ = 750045744. Its totient is φ = 131328000.

The previous prime is 320400491. The next prime is 320400517. The reversal of 320400496 is 694004023.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (320400491) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1276371 + ... + 1276621.

Almost surely, 2^320400496 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 320400496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375022872).

320400496 is an abundant number, since it is smaller than the sum of its proper divisors (429645248).

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

320400496 is a wasteful number, since it uses less digits than its factorization.

320400496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

The square root of 320400496 is about 17899.7345231710. The cubic root of 320400496 is about 684.2756090965.

It can be divided in two parts, 3204004 and 96, that added together give a square (3204100 = 1790²).

The spelling of 320400496 in words is "three hundred twenty million, four hundred thousand, four hundred ninety-six".