321041400 has 96 divisors (see below), whose sum is σ = 997971840. Its totient is φ = 85375360.

The previous prime is 321041359. The next prime is 321041401. The reversal of 321041400 is 4140123.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 321041400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (321041401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 387787 + ... + 388613.

It is an arithmetic number, because the mean of its divisors is an integer number (10395540).

Almost surely, 2^321041400 is an apocalyptic number.

321041400 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 321041400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (498985920).

321041400 is an abundant number, since it is smaller than the sum of its proper divisors (676930440).

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

321041400 is a wasteful number, since it uses less digits than its factorization.

321041400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1493 (or 1484 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 321041400 is about 17917.6281912534. The cubic root of 321041400 is about 684.7315622843.

Adding to 321041400 its reverse (4140123), we get a palindrome (325181523).

The spelling of 321041400 in words is "three hundred twenty-one million, forty-one thousand, four hundred".