420230720 has 112 divisors (see below), whose sum is σ = 1231684608. Its totient is φ = 132986880.

The previous prime is 420230711. The next prime is 420230737. The reversal of 420230720 is 27032024.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 420230692 and 420230701.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21905 + ... + 36335.

It is an arithmetic number, because the mean of its divisors is an integer number (10997184).

Almost surely, 2^420230720 is an apocalyptic number.

420230720 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420230720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (615842304).

420230720 is an abundant number, since it is smaller than the sum of its proper divisors (811453888).

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

420230720 is a wasteful number, since it uses less digits than its factorization.

420230720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14468 (or 14458 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 20.

The square root of 420230720 is about 20499.5297507040. The cubic root of 420230720 is about 749.0243431939.

Adding to 420230720 its reverse (27032024), we get a palindrome (447262744).

The spelling of 420230720 in words is "four hundred twenty million, two hundred thirty thousand, seven hundred twenty".