4399449600 has 480 divisors, whose sum is σ = 17901354240. Its totient is φ = 927498240.

The previous prime is 4399449581. The next prime is 4399449619. The reversal of 4399449600 is 69449934.

It is an interprime number because it is at equal distance from previous prime (4399449581) and next prime (4399449619).

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 4399449600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3493771 + ... + 3495029.

It is an arithmetic number, because the mean of its divisors is an integer number (37294488).

Almost surely, 2^4399449600 is an apocalyptic number.

4399449600 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 4399449600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8950677120).

4399449600 is an abundant number, since it is smaller than the sum of its proper divisors (13501904640).

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

4399449600 is a wasteful number, since it uses less digits than its factorization.

4399449600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1310 (or 1289 counting only the distinct ones).

The product of its (nonzero) digits is 839808, while the sum is 48.

The square root of 4399449600 is about 66328.3468812543. The cubic root of 4399449600 is about 1638.5742119237.

The spelling of 4399449600 in words is "four billion, three hundred ninety-nine million, four hundred forty-nine thousand, six hundred".