420265984 has 60 divisors (see below), whose sum is σ = 851679864. Its totient is φ = 207355904.

The previous prime is 420265957. The next prime is 420266003. The reversal of 420265984 is 489562024.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1851279 + ... + 1851505.

Almost surely, 2^420265984 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 420265984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (425839932).

420265984 is an abundant number, since it is smaller than the sum of its proper divisors (431413880).

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

420265984 is an equidigital number, since it uses as much as digits as its factorization.

420265984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 40.

The square root of 420265984 is about 20500.3898499516. The cubic root of 420265984 is about 749.0452942687.

The spelling of 420265984 in words is "four hundred twenty million, two hundred sixty-five thousand, nine hundred eighty-four".