4846944400 has 75 divisors (see below), whose sum is σ = 11845556041. Its totient is φ = 1905917120.

The previous prime is 4846944379. The next prime is 4846944407. The reversal of 4846944400 is 44496484.

The square root of 4846944400 is 69620.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1744899984 + 3102044416 = 41772^2 + 55696^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4846944407) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 82151571 + ... + 82151629.

Almost surely, 2^4846944400 is an apocalyptic number.

4846944400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

4846944400 is the 69620-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4846944400

4846944400 is an abundant number, since it is smaller than the sum of its proper divisors (6998611641).

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

4846944400 is an frugal number, since it uses more digits than its factorization.

4846944400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 43.

The cubic root of 4846944400 is about 1692.3467275802.

The spelling of 4846944400 in words is "four billion, eight hundred forty-six million, nine hundred forty-four thousand, four hundred".