484038997200 has 1440 divisors, whose sum is σ = 1982633103360. Its totient is φ = 108241920000.

The previous prime is 484038997199. The next prime is 484038997207. The reversal of 484038997200 is 2799830484.

484038997200 is a `hidden beast` number, since 484 + 0 + 3 + 8 + 99 + 72 + 0 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (484038997207) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2969564319 + ... + 2969564481.

It is an arithmetic number, because the mean of its divisors is an integer number (1376828544).

Almost surely, 2^484038997200 is an apocalyptic number.

484038997200 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 484038997200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (991316551680).

484038997200 is an abundant number, since it is smaller than the sum of its proper divisors (1498594106160).

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

484038997200 is a wasteful number, since it uses less digits than its factorization.

484038997200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 484038997200 in words is "four hundred eighty-four billion, thirty-eight million, nine hundred ninety-seven thousand, two hundred".