420014010 has 96 divisors (see below), whose sum is σ = 1121541120. Its totient is φ = 100548864.

The previous prime is 420014003. The next prime is 420014011. The reversal of 420014010 is 10410024.

It is not an unprimeable number, because it can be changed into a prime (420014011) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 186471 + ... + 188709.

It is an arithmetic number, because the mean of its divisors is an integer number (11682720).

Almost surely, 2^420014010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420014010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (560770560).

420014010 is an abundant number, since it is smaller than the sum of its proper divisors (701527110).

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

420014010 is a wasteful number, since it uses less digits than its factorization.

420014010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2312 (or 2299 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 420014010 is about 20494.2433380694. The cubic root of 420014010 is about 748.8955655421.

Adding to 420014010 its reverse (10410024), we get a palindrome (430424034).

The spelling of 420014010 in words is "four hundred twenty million, fourteen thousand, ten".