420499872 has 144 divisors (see below), whose sum is σ = 1329689088. Its totient is φ = 125176320.

The previous prime is 420499847. The next prime is 420499883. The reversal of 420499872 is 278994024.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 114253 + ... + 117875.

It is an arithmetic number, because the mean of its divisors is an integer number (9233952).

Almost surely, 2^420499872 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 420499872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (664844544).

420499872 is an abundant number, since it is smaller than the sum of its proper divisors (909189216).

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

420499872 is a wasteful number, since it uses less digits than its factorization.

420499872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3683 (or 3672 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 420499872 is about 20506.0935333866. The cubic root of 420499872 is about 749.1842223308.

The spelling of 420499872 in words is "four hundred twenty million, four hundred ninety-nine thousand, eight hundred seventy-two".