459147648 has 64 divisors (see below), whose sum is σ = 1222041600. Its totient is φ = 152744448.

The previous prime is 459147641. The next prime is 459147697. The reversal of 459147648 is 846741954.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 459147597 and 459147606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (459147641) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 275265 + ... + 276927.

It is an arithmetic number, because the mean of its divisors is an integer number (19094400).

Almost surely, 2^459147648 is an apocalyptic number.

459147648 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 459147648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (611020800).

459147648 is an abundant number, since it is smaller than the sum of its proper divisors (762893952).

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

459147648 is a wasteful number, since it uses less digits than its factorization.

459147648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2399 (or 2387 counting only the distinct ones).

The product of its digits is 967680, while the sum is 48.

The square root of 459147648 is about 21427.7308177978. The cubic root of 459147648 is about 771.4671795688.

The spelling of 459147648 in words is "four hundred fifty-nine million, one hundred forty-seven thousand, six hundred forty-eight".