420314100 has 72 divisors (see below), whose sum is σ = 1224400800. Its totient is φ = 111319680.

The previous prime is 420314099. The next prime is 420314101. The reversal of 420314100 is 1413024.

It is an interprime number because it is at equal distance from previous prime (420314099) and next prime (420314101).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 420314100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420314101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39999 + ... + 49401.

Almost surely, 2^420314100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420314100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (612200400).

420314100 is an abundant number, since it is smaller than the sum of its proper divisors (804086700).

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

420314100 is a wasteful number, since it uses less digits than its factorization.

420314100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9569 (or 9562 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 420314100 is about 20501.5633550225. The cubic root of 420314100 is about 749.0738790930.

Adding to 420314100 its reverse (1413024), we get a palindrome (421727124).

The spelling of 420314100 in words is "four hundred twenty million, three hundred fourteen thousand, one hundred".