420030720 has 324 divisors, whose sum is σ = 1548961596. Its totient is φ = 105062400.

The previous prime is 420030707. The next prime is 420030727. The reversal of 420030720 is 27030024.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 300259584 + 119771136 = 17328^2 + 10944^2 .

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 = 420030693 and 420030702.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420030727) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4158670 + ... + 4158770.

Almost surely, 2^420030720 is an apocalyptic number.

420030720 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 420030720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (774480798).

420030720 is an abundant number, since it is smaller than the sum of its proper divisors (1128930876).

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

420030720 is a wasteful number, since it uses less digits than its factorization.

420030720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 18.

The square root of 420030720 is about 20494.6510094707. The cubic root of 420030720 is about 748.9054968608.

Adding to 420030720 its reverse (27030024), we get a palindrome (447060744).

The spelling of 420030720 in words is "four hundred twenty million, thirty thousand, seven hundred twenty".