4249084320 has 288 divisors, whose sum is σ = 15875640144. Its totient is φ = 1028782080.

The previous prime is 4249084309. The next prime is 4249084327. The reversal of 4249084320 is 234809424.

4249084320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 2100205584 + 2148878736 = 45828^2 + 46356^2 .

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 not an unprimeable number, because it can be changed into a prime (4249084327) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 69657090 + ... + 69657150.

Almost surely, 2^4249084320 is an apocalyptic number.

4249084320 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 4249084320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7937820072).

4249084320 is an abundant number, since it is smaller than the sum of its proper divisors (11626555824).

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

4249084320 is an equidigital number, since it uses as much as digits as its factorization.

4249084320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 4249084320 is about 65185.0007286952. Note that the first 3 decimals coincide. The cubic root of 4249084320 is about 1619.6895609994.

The spelling of 4249084320 in words is "four billion, two hundred forty-nine million, eighty-four thousand, three hundred twenty".