484448000400 has 1440 divisors, whose sum is σ = 2251013925888. Its totient is φ = 93560832000.

The previous prime is 484448000371. The next prime is 484448000419. The reversal of 484448000400 is 4000844484.

It is a happy number.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 206059225 + ... + 206061575.

Almost surely, 2^484448000400 is an apocalyptic number.

484448000400 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 484448000400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1125506962944).

484448000400 is an abundant number, since it is smaller than the sum of its proper divisors (1766565925488).

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

484448000400 is a wasteful number, since it uses less digits than its factorization.

484448000400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2449 (or 2435 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 36.

Adding to 484448000400 its reverse (4000844484), we get a palindrome (488448844884).

The spelling of 484448000400 in words is "four hundred eighty-four billion, four hundred forty-eight million, four hundred", and thus it is an aban number.