320111400 has 192 divisors, whose sum is σ = 1142784000. Its totient is φ = 72610560.

The previous prime is 320111387. The next prime is 320111417. The reversal of 320111400 is 4111023.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 835609 + ... + 835991.

It is an arithmetic number, because the mean of its divisors is an integer number (5952000).

Almost surely, 2^320111400 is an apocalyptic number.

320111400 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 320111400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (571392000).

320111400 is an abundant number, since it is smaller than the sum of its proper divisors (822672600).

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

320111400 is a wasteful number, since it uses less digits than its factorization.

320111400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 608 (or 599 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 320111400 is about 17891.6572737128. The cubic root of 320111400 is about 684.0697408456.

Adding to 320111400 its reverse (4111023), we get a palindrome (324222423).

It can be divided in two parts, 32011 and 1400, that added together give a triangular number (33411 = T₂₅₈).

The spelling of 320111400 in words is "three hundred twenty million, one hundred eleven thousand, four hundred".