420013314 has 24 divisors (see below), whose sum is σ = 1040033280. Its totient is φ = 120003768.

The previous prime is 420013313. The next prime is 420013337. The reversal of 420013314 is 413310024.

It is a super-2 number, since 2×420013314² = 352822367874525192, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (420013313) 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, 1666594 + ... + 1666845.

It is an arithmetic number, because the mean of its divisors is an integer number (43334720).

Almost surely, 2^420013314 is an apocalyptic number.

420013314 is an abundant number, since it is smaller than the sum of its proper divisors (620019966).

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

420013314 is a wasteful number, since it uses less digits than its factorization.

420013314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3333454 (or 3333451 counting only the distinct ones).

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

The square root of 420013314 is about 20494.2263576843. The cubic root of 420013314 is about 748.8951518801.

Adding to 420013314 its reverse (413310024), we get a palindrome (833323338).

The spelling of 420013314 in words is "four hundred twenty million, thirteen thousand, three hundred fourteen".