4638399480 has 288 divisors, whose sum is σ = 17846599680. Its totient is φ = 1037836800.

The previous prime is 4638399457. The next prime is 4638399499. The reversal of 4638399480 is 849938364.

It is a happy number.

4638399480 is a `hidden beast` number, since 46 + 38 + 3 + 99 + 480 = 666.

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 562185 + ... + 570375.

It is an arithmetic number, because the mean of its divisors is an integer number (61967360).

Almost surely, 2^4638399480 is an apocalyptic number.

4638399480 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 4638399480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8923299840).

4638399480 is an abundant number, since it is smaller than the sum of its proper divisors (13208200200).

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

4638399480 is a wasteful number, since it uses less digits than its factorization.

4638399480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8243 (or 8225 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The square root of 4638399480 is about 68105.7962291023. The cubic root of 4638399480 is about 1667.7183849048.

The spelling of 4638399480 in words is "four billion, six hundred thirty-eight million, three hundred ninety-nine thousand, four hundred eighty".