4182900480 has 288 divisors, whose sum is σ = 16194366720. Its totient is φ = 1013944320.

The previous prime is 4182900467. The next prime is 4182900487. The reversal of 4182900480 is 840092814.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4182900487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 374659 + ... + 385661.

It is an arithmetic number, because the mean of its divisors is an integer number (56230440).

Almost surely, 2^4182900480 is an apocalyptic number.

4182900480 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 4182900480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8097183360).

4182900480 is an abundant number, since it is smaller than the sum of its proper divisors (12011466240).

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

4182900480 is a wasteful number, since it uses less digits than its factorization.

4182900480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11044 (or 11024 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 4182900480 is about 64675.3467713935. The cubic root of 4182900480 is about 1611.2360760813.

The spelling of 4182900480 in words is "four billion, one hundred eighty-two million, nine hundred thousand, four hundred eighty".