483806822400 has 1440 divisors, whose sum is σ = 2006850303360. Its totient is φ = 113246208000.

The previous prime is 483806822339. The next prime is 483806822423. The reversal of 483806822400 is 4228608384.

483806822400 is a `hidden beast` number, since 48 + 380 + 6 + 8 + 224 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 4987699152 + ... + 4987699248.

It is an arithmetic number, because the mean of its divisors is an integer number (1393646044).

Almost surely, 2^483806822400 is an apocalyptic number.

483806822400 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 483806822400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1003425151680).

483806822400 is an abundant number, since it is smaller than the sum of its proper divisors (1523043480960).

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

483806822400 is a wasteful number, since it uses less digits than its factorization.

483806822400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 45.

The spelling of 483806822400 in words is "four hundred eighty-three billion, eight hundred six million, eight hundred twenty-two thousand, four hundred".