420114432 has 104 divisors (see below), whose sum is σ = 1132323840. Its totient is φ = 138526720.

The previous prime is 420114427. The next prime is 420114437. The reversal of 420114432 is 234411024.

It is an interprime number because it is at equal distance from previous prime (420114427) and next prime (420114437).

It is a super-2 number, since 2×420114432² = 352992271949365248, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 420114399 and 420114408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420114437) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2199457 + ... + 2199647.

Almost surely, 2^420114432 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 420114432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (566161920).

420114432 is an abundant number, since it is smaller than the sum of its proper divisors (712209408).

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

420114432 is a wasteful number, since it uses less digits than its factorization.

420114432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 397 (or 375 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 420114432 is about 20496.6931967086. The cubic root of 420114432 is about 748.9552457717.

Adding to 420114432 its reverse (234411024), we get a palindrome (654525456).

The spelling of 420114432 in words is "four hundred twenty million, one hundred fourteen thousand, four hundred thirty-two".