320480294400 has 720 divisors, whose sum is σ = 1322730455904. Its totient is φ = 72583741440.

The previous prime is 320480294363. The next prime is 320480294401. The reversal of 320480294400 is 4492084023.

320480294400 is a `hidden beast` number, since 3 + 204 + 8 + 0 + 2 + 9 + 440 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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 (320480294401) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 91121442 + ... + 91124958.

Almost surely, 2^320480294400 is an apocalyptic number.

320480294400 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 320480294400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (661365227952).

320480294400 is an abundant number, since it is smaller than the sum of its proper divisors (1002250161504).

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

320480294400 is a wasteful number, since it uses less digits than its factorization.

320480294400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3671 (or 3647 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 320480294400 in words is "three hundred twenty billion, four hundred eighty million, two hundred ninety-four thousand, four hundred".