4830265440 has 768 divisors, whose sum is σ = 22719191040. Its totient is φ = 925655040.

The previous prime is 4830265411. The next prime is 4830265441. The reversal of 4830265440 is 445620384.

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

It is a junction number, because it is equal to n+sod(n) for n = 4830265395 and 4830265404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4830265441) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4323762 + ... + 4324878.

It is an arithmetic number, because the mean of its divisors is an integer number (29582280).

Almost surely, 2^4830265440 is an apocalyptic number.

4830265440 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 4830265440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11359595520).

4830265440 is an abundant number, since it is smaller than the sum of its proper divisors (17888925600).

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

4830265440 is a wasteful number, since it uses less digits than its factorization.

4830265440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1172 (or 1158 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The square root of 4830265440 is about 69500.1110790479. Note that the first 3 decimals coincide. The cubic root of 4830265440 is about 1690.4033023219.

The spelling of 4830265440 in words is "four billion, eight hundred thirty million, two hundred sixty-five thousand, four hundred forty".