4478992000 has 384 divisors, whose sum is σ = 13468712400. Its totient is φ = 1475174400.

The previous prime is 4478991967. The next prime is 4478992019. The reversal of 4478992000 is 2998744.

It can be written as a sum of positive squares in 8 ways, for example, as 1080568384 + 3398423616 = 32872^2 + 58296^2 .

It is a super-2 number, since 2×4478992000² = 40122738672128000000, which contains 22 as substring.

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, 22735902 + ... + 22736098.

Almost surely, 2^4478992000 is an apocalyptic number.

4478992000 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 4478992000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6734356200).

4478992000 is an abundant number, since it is smaller than the sum of its proper divisors (8989720400).

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

4478992000 is a wasteful number, since it uses less digits than its factorization.

4478992000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 43.

The square root of 4478992000 is about 66925.2717588804. The cubic root of 4478992000 is about 1648.3904720904.

The spelling of 4478992000 in words is "four billion, four hundred seventy-eight million, nine hundred ninety-two thousand".