314421300 has 54 divisors (see below), whose sum is σ = 985538918. Its totient is φ = 83845440.

The previous prime is 314421271. The next prime is 314421377. The reversal of 314421300 is 3124413.

It can be written as a sum of positive squares in 3 ways, for example, as 48274704 + 266146596 = 6948^2 + 16314^2 .

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 17 ways as a sum of consecutive naturals, for example, 173779 + ... + 175578.

Almost surely, 2^314421300 is an apocalyptic number.

314421300 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

314421300 is an abundant number, since it is smaller than the sum of its proper divisors (671117618).

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

314421300 is a wasteful number, since it uses less digits than its factorization.

314421300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349377 (or 349367 counting only the distinct ones).

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

The square root of 314421300 is about 17731.9288290925. The cubic root of 314421300 is about 679.9922865330.

Adding to 314421300 its reverse (3124413), we get a palindrome (317545713).

It can be divided in two parts, 314421 and 300, that added together give a square (314721 = 561²).

The spelling of 314421300 in words is "three hundred fourteen million, four hundred twenty-one thousand, three hundred".