484748246400 has 384 divisors, whose sum is σ = 1833469257600. Its totient is φ = 111329280000.

The previous prime is 484748246387. The next prime is 484748246429. The reversal of 484748246400 is 4642847484.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×484748246400² (a number of 24 digits) contains 22 as substring.

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, 1885600 + ... + 2127200.

It is an arithmetic number, because the mean of its divisors is an integer number (4774659525).

Almost surely, 2^484748246400 is an apocalyptic number.

484748246400 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 484748246400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (916734628800).

484748246400 is an abundant number, since it is smaller than the sum of its proper divisors (1348721011200).

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

484748246400 is a wasteful number, since it uses less digits than its factorization.

484748246400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241658 (or 241641 counting only the distinct ones).

The product of its (nonzero) digits is 5505024, while the sum is 51.

The spelling of 484748246400 in words is "four hundred eighty-four billion, seven hundred forty-eight million, two hundred forty-six thousand, four hundred".