4484790240 has 384 divisors, whose sum is σ = 17014136832. Its totient is φ = 970844160.

The previous prime is 4484790227. The next prime is 4484790257. The reversal of 4484790240 is 420974844.

It is a happy number.

It is a super-2 number, since 2×4484790240² = 40226686993598515200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 4484790192 and 4484790201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10123459 + ... + 10123901.

It is an arithmetic number, because the mean of its divisors is an integer number (44307648).

Almost surely, 2^4484790240 is an apocalyptic number.

4484790240 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 4484790240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8507068416).

4484790240 is an abundant number, since it is smaller than the sum of its proper divisors (12529346592).

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

4484790240 is a wasteful number, since it uses less digits than its factorization.

4484790240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 622 (or 614 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 42.

The square root of 4484790240 is about 66968.5765116745. The cubic root of 4484790240 is about 1649.1014685399.

The spelling of 4484790240 in words is "four billion, four hundred eighty-four million, seven hundred ninety thousand, two hundred forty".