4705882400 has 36 divisors (see below), whose sum is σ = 11488237362. Its totient is φ = 1882352640.

The previous prime is 4705882373. The next prime is 4705882411. The reversal of 4705882400 is 42885074.

It can be written as a sum of positive squares in 3 ways, for example, as 4036315024 + 669567376 = 63532^2 + 25876^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2940377 + ... + 2941976.

Almost surely, 2^4705882400 is an apocalyptic number.

4705882400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4705882400 is an abundant number, since it is smaller than the sum of its proper divisors (6782354962).

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

4705882400 is a wasteful number, since it uses less digits than its factorization.

4705882400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5882373 (or 5882360 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 38.

The square root of 4705882400 is about 68599.4344000007. The cubic root of 4705882400 is about 1675.7672166601.

The spelling of 4705882400 in words is "four billion, seven hundred five million, eight hundred eighty-two thousand, four hundred".