320152400 has 60 divisors (see below), whose sum is σ = 781835004. Its totient is φ = 125952000.

The previous prime is 320152367. The next prime is 320152409. The reversal of 320152400 is 4251023.

It can be written as a sum of positive squares in 6 ways, for example, as 115433536 + 204718864 = 10744^2 + 14308^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (320152409) 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, 17840 + ... + 30960.

Almost surely, 2^320152400 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 320152400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390917502).

320152400 is an abundant number, since it is smaller than the sum of its proper divisors (461682604).

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

320152400 is a wasteful number, since it uses less digits than its factorization.

320152400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13200 (or 13189 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 320152400 is about 17892.8030224445. The cubic root of 320152400 is about 684.0989449102.

The spelling of 320152400 in words is "three hundred twenty million, one hundred fifty-two thousand, four hundred".