4932280320 has 448 divisors, whose sum is σ = 17835189120. Its totient is φ = 1153433600.

The previous prime is 4932280313. The next prime is 4932280321. The reversal of 4932280320 is 230822394.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (4932280321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 55418836 + ... + 55418924.

It is an arithmetic number, because the mean of its divisors is an integer number (39810690).

Almost surely, 2^4932280320 is an apocalyptic number.

4932280320 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 4932280320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8917594560).

4932280320 is an abundant number, since it is smaller than the sum of its proper divisors (12902908800).

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

4932280320 is a wasteful number, since it uses less digits than its factorization.

4932280320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 4932280320 is about 70230.1952154485. The cubic root of 4932280320 is about 1702.2208943426.

The spelling of 4932280320 in words is "four billion, nine hundred thirty-two million, two hundred eighty thousand, three hundred twenty".