420021768 has 48 divisors (see below), whose sum is σ = 1097727120. Its totient is φ = 133915936.

The previous prime is 420021709. The next prime is 420021781. The reversal of 420021768 is 867120024.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3846 + ... + 29237.

It is an arithmetic number, because the mean of its divisors is an integer number (22869315).

Almost surely, 2^420021768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420021768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (548863560).

420021768 is an abundant number, since it is smaller than the sum of its proper divisors (677705352).

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

420021768 is a wasteful number, since it uses less digits than its factorization.

420021768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33138 (or 33111 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 420021768 is about 20494.4326098577. The cubic root of 420021768 is about 748.9001764169.

The spelling of 420021768 in words is "four hundred twenty million, twenty-one thousand, seven hundred sixty-eight".