483979771814400 has 720 divisors, whose sum is σ = 1780593666539688. Its totient is φ = 125465001984000.

The previous prime is 483979771814393. The next prime is 483979771814411. The reversal of 483979771814400 is 4418177979384.

It is a happy number.

483979771814400 is a `hidden beast` number, since 4 + 8 + 3 + 9 + 79 + 7 + 71 + 81 + 4 + 400 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 28351279966464 + 455628491847936 = 5324592^2 + 21345456^2 .

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1327036872 + ... + 1327401528.

Almost surely, 2^{483979771814400} is an apocalyptic number.

483979771814400 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 483979771814400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (890296833269844).

483979771814400 is an abundant number, since it is smaller than the sum of its proper divisors (1296613894725288).

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

483979771814400 is a wasteful number, since it uses less digits than its factorization.

483979771814400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365013 (or 364989 counting only the distinct ones).

The product of its (nonzero) digits is 341397504, while the sum is 72.

The spelling of 483979771814400 in words is "four hundred eighty-three trillion, nine hundred seventy-nine billion, seven hundred seventy-one million, eight hundred fourteen thousand, four hundred".