459891648 has 112 divisors (see below), whose sum is σ = 1388729760. Its totient is φ = 149133312.

The previous prime is 459891643. The next prime is 459891659. The reversal of 459891648 is 846198954.

459891648 is a `hidden beast` number, since 4 + 598 + 9 + 1 + 6 + 48 = 666.

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 = 459891594 and 459891603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (459891643) 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, 60340 + ... + 67532.

Almost surely, 2^459891648 is an apocalyptic number.

459891648 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 459891648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (694364880).

459891648 is an abundant number, since it is smaller than the sum of its proper divisors (928838112).

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

459891648 is a wasteful number, since it uses less digits than its factorization.

459891648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7251 (or 7235 counting only the distinct ones).

The product of its digits is 2488320, while the sum is 54.

The square root of 459891648 is about 21445.0844717385. The cubic root of 459891648 is about 771.8836482457.

The spelling of 459891648 in words is "four hundred fifty-nine million, eight hundred ninety-one thousand, six hundred forty-eight".