484693248000 has 768 divisors, whose sum is σ = 1778679302400. Its totient is φ = 116431257600.

The previous prime is 484693247939. The next prime is 484693248007. The reversal of 484693248000 is 842396484.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (484693248007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 429311436 + ... + 429312564.

It is an arithmetic number, because the mean of its divisors is an integer number (2315988675).

Almost surely, 2^484693248000 is an apocalyptic number.

484693248000 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 484693248000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (889339651200).

484693248000 is an abundant number, since it is smaller than the sum of its proper divisors (1293986054400).

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

484693248000 is a wasteful number, since it uses less digits than its factorization.

484693248000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1225 (or 1195 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 48.

The spelling of 484693248000 in words is "four hundred eighty-four billion, six hundred ninety-three million, two hundred forty-eight thousand".