4835220480 has 440 divisors, whose sum is σ = 17655129360. Its totient is φ = 1265172480.

The previous prime is 4835220437. The next prime is 4835220587. The reversal of 4835220480 is 840225384.

It is a super-2 number, since 2×4835220480² = 46758714180422860800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 36910015 + ... + 36910145.

It is an arithmetic number, because the mean of its divisors is an integer number (40125294).

Almost surely, 2^4835220480 is an apocalyptic number.

4835220480 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 4835220480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8827564680).

4835220480 is an abundant number, since it is smaller than the sum of its proper divisors (12819908880).

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

4835220480 is a wasteful number, since it uses less digits than its factorization.

4835220480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 4835220480 is about 69535.7496544044. The cubic root of 4835220480 is about 1690.9811279498.

The spelling of 4835220480 in words is "four billion, eight hundred thirty-five million, two hundred twenty thousand, four hundred eighty".