4396200480 has 576 divisors, whose sum is σ = 18426320640. Its totient is φ = 968454144.

The previous prime is 4396200469. The next prime is 4396200491. The reversal of 4396200480 is 840026934.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4396200469) and next prime (4396200491).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7892362 + ... + 7892918.

It is an arithmetic number, because the mean of its divisors is an integer number (31990140).

Almost surely, 2^4396200480 is an apocalyptic number.

4396200480 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 4396200480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9213160320).

4396200480 is an abundant number, since it is smaller than the sum of its proper divisors (14030120160).

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

4396200480 is a wasteful number, since it uses less digits than its factorization.

4396200480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 623 (or 603 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 4396200480 is about 66303.8496619917. The cubic root of 4396200480 is about 1638.1707345277.

The spelling of 4396200480 in words is "four billion, three hundred ninety-six million, two hundred thousand, four hundred eighty".