420323130 has 144 divisors (see below), whose sum is σ = 1222836264. Its totient is φ = 99809280.

The previous prime is 420323119. The next prime is 420323131. The reversal of 420323130 is 31323024.

It can be written as a sum of positive squares in 4 ways, for example, as 252905409 + 167417721 = 15903^2 + 12939^2 .

It is a super-2 number, since 2×420323130² = 353343067225993800, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420323131) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 551950 + ... + 552710.

Almost surely, 2^420323130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420323130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (611418132).

420323130 is an abundant number, since it is smaller than the sum of its proper divisors (802513134).

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

420323130 is a wasteful number, since it uses less digits than its factorization.

420323130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 829 (or 807 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 420323130 is about 20501.7835809473. The cubic root of 420323130 is about 749.0792434056.

Adding to 420323130 its reverse (31323024), we get a palindrome (451646154).

The spelling of 420323130 in words is "four hundred twenty million, three hundred twenty-three thousand, one hundred thirty".