484768972800 has 1536 divisors, whose sum is σ = 2121949900800. Its totient is φ = 106168320000.

The previous prime is 484768972789. The next prime is 484768972817. The reversal of 484768972800 is 8279867484.

484768972800 is a `hidden beast` number, since 4 + 8 + 476 + 89 + 7 + 2 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

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, 4799692750 + ... + 4799692850.

It is an arithmetic number, because the mean of its divisors is an integer number (1381477800).

Almost surely, 2^484768972800 is an apocalyptic number.

484768972800 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 484768972800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1060974950400).

484768972800 is an abundant number, since it is smaller than the sum of its proper divisors (1637180928000).

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

484768972800 is a wasteful number, since it uses less digits than its factorization.

484768972800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 43352064, while the sum is 63.

The spelling of 484768972800 in words is "four hundred eighty-four billion, seven hundred sixty-eight million, nine hundred seventy-two thousand, eight hundred".