4085484480 has 1120 divisors, whose sum is σ = 19119006720. Its totient is φ = 802897920.

The previous prime is 4085484479. The next prime is 4085484497. The reversal of 4085484480 is 844845804.

4085484480 is a `hidden beast` number, since 40 + 8 + 54 + 84 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (1120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 45904276 + ... + 45904364.

Almost surely, 2^4085484480 is an apocalyptic number.

4085484480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4085484480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9559503360).

4085484480 is an abundant number, since it is smaller than the sum of its proper divisors (15033522240).

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

4085484480 is a wasteful number, since it uses less digits than its factorization.

4085484480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 655360, while the sum is 45.

The square root of 4085484480 is about 63917.7947053870. The cubic root of 4085484480 is about 1598.6296182855.

The spelling of 4085484480 in words is "four billion, eighty-five million, four hundred eighty-four thousand, four hundred eighty".