459099648 has 240 divisors, whose sum is σ = 1554174336. Its totient is φ = 127733760.

The previous prime is 459099631. The next prime is 459099653. The reversal of 459099648 is 846990954.

459099648 is a `hidden beast` number, since 4 + 590 + 9 + 9 + 6 + 48 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 459099594 and 459099603.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1386843 + ... + 1387173.

Almost surely, 2^459099648 is an apocalyptic number.

459099648 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 459099648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (777087168).

459099648 is an abundant number, since it is smaller than the sum of its proper divisors (1095074688).

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

459099648 is a wasteful number, since it uses less digits than its factorization.

459099648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405 (or 386 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The square root of 459099648 is about 21426.6107445858. The cubic root of 459099648 is about 771.4402951775.

The spelling of 459099648 in words is "four hundred fifty-nine million, ninety-nine thousand, six hundred forty-eight".