420002000 has 160 divisors (see below), whose sum is σ = 1174103424. Its totient is φ = 143616000.

The previous prime is 420001997. The next prime is 420002003. The reversal of 420002000 is 200024.

It is an interprime number because it is at equal distance from previous prime (420001997) and next prime (420002003).

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420002003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 373439 + ... + 374561.

Almost surely, 2^420002000 is an apocalyptic number.

420002000 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 420002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (587051712).

420002000 is an abundant number, since it is smaller than the sum of its proper divisors (754101424).

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

420002000 is a wasteful number, since it uses less digits than its factorization.

420002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1174 (or 1158 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 8.

The square root of 420002000 is about 20493.9503268648. The cubic root of 420002000 is about 748.8884274299. Note that the first 3 decimals are identical.

Adding to 420002000 its reverse (200024), we get a palindrome (420202024).

The spelling of 420002000 in words is "four hundred twenty million, two thousand".