320100400 has 60 divisors (see below), whose sum is σ = 771559992. Its totient is φ = 127621120.

The previous prime is 320100397. The next prime is 320100427. The reversal of 320100400 is 4001023.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 140067 + ... + 142333.

Almost surely, 2^320100400 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 320100400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385779996).

320100400 is an abundant number, since it is smaller than the sum of its proper divisors (451459592).

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

320100400 is a wasteful number, since it uses less digits than its factorization.

320100400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2638 (or 2627 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 320100400 is about 17891.3498652282. The cubic root of 320100400 is about 684.0619051845.

Adding to 320100400 its reverse (4001023), we get a palindrome (324101423).

The spelling of 320100400 in words is "three hundred twenty million, one hundred thousand, four hundred".