4628574496 has 432 divisors, whose sum is σ = 13101605496. Its totient is φ = 1588543488.

The previous prime is 4628574469. The next prime is 4628574497. The reversal of 4628574496 is 6944758264.

It can be written as a sum of positive squares in 4 ways, for example, as 4422250000 + 206324496 = 66500^2 + 14364^2 .

It is not an unprimeable number, because it can be changed into a prime (4628574497) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 125096590 + ... + 125096626.

Almost surely, 2^4628574496 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4628574496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6550802748).

4628574496 is an abundant number, since it is smaller than the sum of its proper divisors (8473031000).

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

4628574496 is a wasteful number, since it uses less digits than its factorization.

4628574496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 95 counting only the distinct ones).

The product of its digits is 11612160, while the sum is 55.

The square root of 4628574496 is about 68033.6276851382. The cubic root of 4628574496 is about 1666.5400410109.

The spelling of 4628574496 in words is "four billion, six hundred twenty-eight million, five hundred seventy-four thousand, four hundred ninety-six".