4205253984 has 24 divisors (see below), whose sum is σ = 11038791960. Its totient is φ = 1401751296.

The previous prime is 4205253979. The next prime is 4205253991. The reversal of 4205253984 is 4893525024.

4205253984 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×4205253984² = 35368322139895744512, which contains 22 as substring.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 21902269 + ... + 21902460.

It is an arithmetic number, because the mean of its divisors is an integer number (459949665).

Almost surely, 2^4205253984 is an apocalyptic number.

It is an amenable number.

4205253984 is an abundant number, since it is smaller than the sum of its proper divisors (6833537976).

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

4205253984 is a wasteful number, since it uses less digits than its factorization.

4205253984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43804742 (or 43804734 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 42.

The square root of 4205253984 is about 64847.9296816791. The cubic root of 4205253984 is about 1614.1011377715.

The spelling of 4205253984 in words is "four billion, two hundred five million, two hundred fifty-three thousand, nine hundred eighty-four".