420129984 has 56 divisors (see below), whose sum is σ = 1113099120. Its totient is φ = 139853824.

The previous prime is 420129967. The next prime is 420130001. The reversal of 420129984 is 489921024.

It is an interprime number because it is at equal distance from previous prime (420129967) and next prime (420130001).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 269752 + ... + 271304.

It is an arithmetic number, because the mean of its divisors is an integer number (19876770).

Almost surely, 2^420129984 is an apocalyptic number.

It is an amenable number.

420129984 is an abundant number, since it is smaller than the sum of its proper divisors (692969136).

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

420129984 is a wasteful number, since it uses less digits than its factorization.

420129984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2977 (or 2967 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The square root of 420129984 is about 20497.0725714674. The cubic root of 420129984 is about 748.9644873873.

The spelling of 420129984 in words is "four hundred twenty million, one hundred twenty-nine thousand, nine hundred eighty-four".