4628254120 has 256 divisors, whose sum is σ = 13005619200. Its totient is φ = 1447649280.

The previous prime is 4628254117. The next prime is 4628254121. The reversal of 4628254120 is 214528264.

It is not an unprimeable number, because it can be changed into a prime (4628254121) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 19364961 + ... + 19365199.

It is an arithmetic number, because the mean of its divisors is an integer number (50803200).

Almost surely, 2^4628254120 is an apocalyptic number.

4628254120 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 4628254120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6502809600).

4628254120 is an abundant number, since it is smaller than the sum of its proper divisors (8377365080).

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

4628254120 is a wasteful number, since it uses less digits than its factorization.

4628254120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408 (or 404 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 34.

The square root of 4628254120 is about 68031.2731028900. The cubic root of 4628254120 is about 1666.5015891613.

The spelling of 4628254120 in words is "four billion, six hundred twenty-eight million, two hundred fifty-four thousand, one hundred twenty".