420052014 has 64 divisors (see below), whose sum is σ = 992839680. Its totient is φ = 131184000.

The previous prime is 420051991. The next prime is 420052021. The reversal of 420052014 is 410250024.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 229507 + ... + 231329.

It is an arithmetic number, because the mean of its divisors is an integer number (15513120).

Almost surely, 2^420052014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420052014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (496419840).

420052014 is an abundant number, since it is smaller than the sum of its proper divisors (572787666).

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

420052014 is a wasteful number, since it uses less digits than its factorization.

420052014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2102 (or 2096 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 420052014 is about 20495.1705042920. The cubic root of 420052014 is about 748.9181522242.

The spelling of 420052014 in words is "four hundred twenty million, fifty-two thousand, fourteen".