420067000 has 64 divisors (see below), whose sum is σ = 1005919200. Its totient is φ = 164102400.

The previous prime is 420066989. The next prime is 420067013. The reversal of 420067000 is 760024.

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, 38116 + ... + 47884.

Almost surely, 2^420067000 is an apocalyptic number.

420067000 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 420067000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (502959600).

420067000 is an abundant number, since it is smaller than the sum of its proper divisors (585852200).

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

420067000 is a wasteful number, since it uses less digits than its factorization.

420067000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9833 (or 9819 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 19.

The square root of 420067000 is about 20495.5360993559. The cubic root of 420067000 is about 748.9270583863.

The spelling of 420067000 in words is "four hundred twenty million, sixty-seven thousand".