420014000 has 160 divisors (see below), whose sum is σ = 1222540800. Its totient is φ = 136339200.

The previous prime is 420013991. The next prime is 420014003. The reversal of 420014000 is 410024.

It is not an unprimeable number, because it can be changed into a prime (420014003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 265211 + ... + 266789.

It is an arithmetic number, because the mean of its divisors is an integer number (7640880).

Almost surely, 2^420014000 is an apocalyptic number.

420014000 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 420014000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (611270400).

420014000 is an abundant number, since it is smaller than the sum of its proper divisors (802526800).

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

420014000 is a wasteful number, since it uses less digits than its factorization.

420014000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1628 (or 1612 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

The square root of 420014000 is about 20494.2430940984. The cubic root of 420014000 is about 748.8955595987.

Adding to 420014000 its reverse (410024), we get a palindrome (420424024).

The spelling of 420014000 in words is "four hundred twenty million, fourteen thousand".