320270400 has 252 divisors, whose sum is σ = 1189036992. Its totient is φ = 81607680.

The previous prime is 320270381. The next prime is 320270413. The reversal of 320270400 is 4072023.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 330717 + ... + 331683.

Almost surely, 2^320270400 is an apocalyptic number.

320270400 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 320270400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (594518496).

320270400 is an abundant number, since it is smaller than the sum of its proper divisors (868766592).

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

320270400 is a wasteful number, since it uses less digits than its factorization.

320270400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1018 (or 1000 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 18.

The square root of 320270400 is about 17896.1001338280. The cubic root of 320270400 is about 684.1829817210.

The spelling of 320270400 in words is "three hundred twenty million, two hundred seventy thousand, four hundred".