420441984 has 96 divisors (see below), whose sum is σ = 1218381840. Its totient is φ = 139161600.

The previous prime is 420441979. The next prime is 420441991. The reversal of 420441984 is 489144024.

420441984 is a `hidden beast` number, since 420 + 44 + 198 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

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, 172744 + ... + 175160.

Almost surely, 2^420441984 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 420441984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (609190920).

420441984 is an abundant number, since it is smaller than the sum of its proper divisors (797939856).

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

420441984 is a wasteful number, since it uses less digits than its factorization.

420441984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2588 (or 2573 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 420441984 is about 20504.6820019234. The cubic root of 420441984 is about 749.1498420060.

The spelling of 420441984 in words is "four hundred twenty million, four hundred forty-one thousand, nine hundred eighty-four".