420879984 has 80 divisors (see below), whose sum is σ = 1244920320. Its totient is φ = 120026880.

The previous prime is 420879973. The next prime is 420879989. The reversal of 420879984 is 489978024.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420879989) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 277789 + ... + 279299.

It is an arithmetic number, because the mean of its divisors is an integer number (15561504).

Almost surely, 2^420879984 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 420879984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (622460160).

420879984 is an abundant number, since it is smaller than the sum of its proper divisors (824040336).

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

420879984 is a wasteful number, since it uses less digits than its factorization.

420879984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2358 (or 2352 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 51.

The square root of 420879984 is about 20515.3597092520. The cubic root of 420879984 is about 749.4098967148.

The spelling of 420879984 in words is "four hundred twenty million, eight hundred seventy-nine thousand, nine hundred eighty-four".