484688486400 has 672 divisors, whose sum is σ = 1670959051776. Its totient is φ = 123863040000.

The previous prime is 484688486339. The next prime is 484688486417. The reversal of 484688486400 is 4684886484.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1788518265 + ... + 1788518535.

It is an arithmetic number, because the mean of its divisors is an integer number (2486546208).

Almost surely, 2^484688486400 is an apocalyptic number.

484688486400 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 484688486400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (835479525888).

484688486400 is an abundant number, since it is smaller than the sum of its proper divisors (1186270565376).

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

484688486400 is a wasteful number, since it uses less digits than its factorization.

484688486400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 37748736, while the sum is 60.

The spelling of 484688486400 in words is "four hundred eighty-four billion, six hundred eighty-eight million, four hundred eighty-six thousand, four hundred".