314421120 has 576 divisors, whose sum is σ = 1310353200. Its totient is φ = 69009408.

The previous prime is 314421113. The next prime is 314421131. The reversal of 314421120 is 21124413.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a junction number, because it is equal to n+sod(n) for n = 314421093 and 314421102.

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, 16548471 + ... + 16548489.

Almost surely, 2^314421120 is an apocalyptic number.

314421120 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 314421120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (655176600).

314421120 is an abundant number, since it is smaller than the sum of its proper divisors (995932080).

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

314421120 is a wasteful number, since it uses less digits than its factorization.

314421120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 314421120 is about 17731.9237535018. The cubic root of 314421120 is about 679.9921567723.

Adding to 314421120 its reverse (21124413), we get a palindrome (335545533).

The spelling of 314421120 in words is "three hundred fourteen million, four hundred twenty-one thousand, one hundred twenty".