4802470400 has 720 divisors, whose sum is σ = 16196463360. Its totient is φ = 1393459200.

The previous prime is 4802470391. The next prime is 4802470411. The reversal of 4802470400 is 40742084.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 154918385 + ... + 154918415.

It is an arithmetic number, because the mean of its divisors is an integer number (22495088).

Almost surely, 2^4802470400 is an apocalyptic number.

4802470400 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 4802470400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8098231680).

4802470400 is an abundant number, since it is smaller than the sum of its proper divisors (11393992960).

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

4802470400 is a wasteful number, since it uses less digits than its factorization.

4802470400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 29.

The square root of 4802470400 is about 69299.8585857143. The cubic root of 4802470400 is about 1687.1546720900.

The spelling of 4802470400 in words is "four billion, eight hundred two million, four hundred seventy thousand, four hundred".