420444864 has 112 divisors (see below), whose sum is σ = 1412646400. Its totient is φ = 120123648.

The previous prime is 420444859. The next prime is 420444877. The reversal of 420444864 is 468444024.

420444864 is a `hidden beast` number, since 4 + 204 + 448 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 5284 + ... + 29475.

Almost surely, 2^420444864 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 420444864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (706323200).

420444864 is an abundant number, since it is smaller than the sum of its proper divisors (992201536).

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

420444864 is a wasteful number, since it uses less digits than its factorization.

420444864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34787 (or 34771 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 36.

The square root of 420444864 is about 20504.7522296662. The cubic root of 420444864 is about 749.1515525445.

Adding to 420444864 its reverse (468444024), we get a palindrome (888888888).

The spelling of 420444864 in words is "four hundred twenty million, four hundred forty-four thousand, eight hundred sixty-four".