420023340 has 192 divisors, whose sum is σ = 1472163840. Its totient is φ = 98496000.

The previous prime is 420023333. The next prime is 420023341. The reversal of 420023340 is 43320024.

It is a super-2 number, since 2×420023340² = 352839212289511200, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (420023341) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 183000 + ... + 185280.

It is an arithmetic number, because the mean of its divisors is an integer number (7667520).

Almost surely, 2^420023340 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 420023340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (736081920).

420023340 is an abundant number, since it is smaller than the sum of its proper divisors (1052140500).

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

420023340 is a wasteful number, since it uses less digits than its factorization.

420023340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2341 (or 2333 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 420023340 is about 20494.4709617009. The cubic root of 420023340 is about 748.9011107095.

Adding to 420023340 its reverse (43320024), we get a palindrome (463343364).

The spelling of 420023340 in words is "four hundred twenty million, twenty-three thousand, three hundred forty".