460798848 has 128 divisors (see below), whose sum is σ = 1370553600. Its totient is φ = 152409600.

The previous prime is 460798847. The next prime is 460798853. The reversal of 460798848 is 848897064.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 460798794 and 460798803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (460798841) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 521415 + ... + 522297.

It is an arithmetic number, because the mean of its divisors is an integer number (10707450).

Almost surely, 2^460798848 is an apocalyptic number.

460798848 is a gapful number since it is divisible by the number (48) 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 460798848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (685276800).

460798848 is an abundant number, since it is smaller than the sum of its proper divisors (909754752).

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

460798848 is a wasteful number, since it uses less digits than its factorization.

460798848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1057 (or 1039 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The square root of 460798848 is about 21466.2257511655. The cubic root of 460798848 is about 772.3908640244.

The spelling of 460798848 in words is "four hundred sixty million, seven hundred ninety-eight thousand, eight hundred forty-eight".