460843803026880 has 448 divisors, whose sum is σ = 1800970927042560. Its totient is φ = 97225681453056.

The previous prime is 460843803026863. The next prime is 460843803026917. The reversal of 460843803026880 is 88620308348064.

It is a tau number, because it is divible by the number of its divisors (448).

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 63 ways as a sum of consecutive naturals, for example, 1205988486 + ... + 1206370554.

It is an arithmetic number, because the mean of its divisors is an integer number (4020024390720).

Almost surely, 2^{460843803026880} is an apocalyptic number.

460843803026880 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 460843803026880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (900485463521280).

460843803026880 is an abundant number, since it is smaller than the sum of its proper divisors (1340127124015680).

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

460843803026880 is a wasteful number, since it uses less digits than its factorization.

460843803026880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395916 (or 395906 counting only the distinct ones).

The product of its (nonzero) digits is 42467328, while the sum is 60.

The spelling of 460843803026880 in words is "four hundred sixty trillion, eight hundred forty-three billion, eight hundred three million, twenty-six thousand, eight hundred eighty".