4576482240 has 224 divisors, whose sum is σ = 15941283840. Its totient is φ = 1103155200.

The previous prime is 4576482223. The next prime is 4576482311. The reversal of 4576482240 is 422846754.

It is a happy number.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 4576482192 and 4576482201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2015826 + ... + 2018094.

Almost surely, 2^4576482240 is an apocalyptic number.

4576482240 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 4576482240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7970641920).

4576482240 is an abundant number, since it is smaller than the sum of its proper divisors (11364801600).

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

4576482240 is a wasteful number, since it uses less digits than its factorization.

4576482240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2491 (or 2481 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 42.

The square root of 4576482240 is about 67649.7024383700. The cubic root of 4576482240 is about 1660.2644181298.

The spelling of 4576482240 in words is "four billion, five hundred seventy-six million, four hundred eighty-two thousand, two hundred forty".