314321400 has 288 divisors, whose sum is σ = 1123499520. Its totient is φ = 78624000.

The previous prime is 314321377. The next prime is 314321453. The reversal of 314321400 is 4123413.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2399335 + ... + 2399465.

It is an arithmetic number, because the mean of its divisors is an integer number (3901040).

Almost surely, 2^314321400 is an apocalyptic number.

314321400 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 314321400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (561749760).

314321400 is an abundant number, since it is smaller than the sum of its proper divisors (809178120).

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

314321400 is a wasteful number, since it uses less digits than its factorization.

314321400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 314321400 is about 17729.1116528720. Note that the first 3 decimals coincide. The cubic root of 314321400 is about 679.9202616997.

Adding to 314321400 its reverse (4123413), we get a palindrome (318444813).

It can be divided in two parts, 314321 and 400, that added together give a square (314721 = 561²).

The spelling of 314321400 in words is "three hundred fourteen million, three hundred twenty-one thousand, four hundred".