4048470720 has 560 divisors, whose sum is σ = 16808793408. Its totient is φ = 905748480.

The previous prime is 4048470709. The next prime is 4048470739. The reversal of 4048470720 is 270748404.

4048470720 is a `hidden beast` number, since 40 + 484 + 70 + 72 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (560).

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 9616110 + ... + 9616530.

Almost surely, 2^4048470720 is an apocalyptic number.

4048470720 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 4048470720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8404396704).

4048470720 is an abundant number, since it is smaller than the sum of its proper divisors (12760322688).

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

4048470720 is a wasteful number, since it uses less digits than its factorization.

4048470720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 510 (or 491 counting only the distinct ones).

The product of its (nonzero) digits is 50176, while the sum is 36.

The square root of 4048470720 is about 63627.5940139182. The cubic root of 4048470720 is about 1593.7871985781.

The spelling of 4048470720 in words is "four billion, forty-eight million, four hundred seventy thousand, seven hundred twenty".