481640000448 has 112 divisors (see below), whose sum is σ = 1343435894784. Its totient is φ = 152061957120.

The previous prime is 481640000423. The next prime is 481640000459. The reversal of 481640000448 is 844000046184.

481640000448 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 581115 + ... + 1140602.

Almost surely, 2^481640000448 is an apocalyptic number.

481640000448 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

481640000448 is an abundant number, since it is smaller than the sum of its proper divisors (861795894336).

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

481640000448 is a wasteful number, since it uses less digits than its factorization.

481640000448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1721810 (or 1721800 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 39.

The spelling of 481640000448 in words is "four hundred eighty-one billion, six hundred forty million, four hundred forty-eight", and thus it is an aban number.