420986664 has 144 divisors (see below), whose sum is σ = 1363034400. Its totient is φ = 114979392.

The previous prime is 420986651. The next prime is 420986717. The reversal of 420986664 is 466689024.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 265827 + ... + 267405.

Almost surely, 2^420986664 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 420986664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (681517200).

420986664 is an abundant number, since it is smaller than the sum of its proper divisors (942047736).

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

420986664 is a wasteful number, since it uses less digits than its factorization.

420986664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1644 (or 1614 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 420986664 is about 20517.9595476743. The cubic root of 420986664 is about 749.4732087413.

The spelling of 420986664 in words is "four hundred twenty million, nine hundred eighty-six thousand, six hundred sixty-four".