314310420 has 36 divisors (see below), whose sum is σ = 953408820. Its totient is φ = 83816064.

The previous prime is 314310419. The next prime is 314310421. The reversal of 314310420 is 24013413.

314310420 is a `hidden beast` number, since 314 + 310 + 42 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (314310419) and next prime (314310421).

It can be written as a sum of positive squares in 2 ways, for example, as 201015684 + 113294736 = 14178^2 + 10644^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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 = 314310393 and 314310402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314310421) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 872905 + ... + 873264.

Almost surely, 2^314310420 is an apocalyptic number.

314310420 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

314310420 is an abundant number, since it is smaller than the sum of its proper divisors (639098400).

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

314310420 is a wasteful number, since it uses less digits than its factorization.

314310420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1746184 (or 1746179 counting only the distinct ones).

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

The square root of 314310420 is about 17728.8019899823. The cubic root of 314310420 is about 679.9123445259.

Adding to 314310420 its reverse (24013413), we get a palindrome (338323833).

The spelling of 314310420 in words is "three hundred fourteen million, three hundred ten thousand, four hundred twenty".