459704448 has 192 divisors, whose sum is σ = 1528612800. Its totient is φ = 129890304.

The previous prime is 459704431. The next prime is 459704461. The reversal of 459704448 is 844407954.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×459704448² = 422656359021969408, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 878715 + ... + 879237.

It is an arithmetic number, because the mean of its divisors is an integer number (7961525).

Almost surely, 2^459704448 is an apocalyptic number.

459704448 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 459704448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (764306400).

459704448 is an abundant number, since it is smaller than the sum of its proper divisors (1068908352).

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

459704448 is a wasteful number, since it uses less digits than its factorization.

459704448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 659 (or 644 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The square root of 459704448 is about 21440.7193909160. The cubic root of 459704448 is about 771.7789016676.

The spelling of 459704448 in words is "four hundred fifty-nine million, seven hundred four thousand, four hundred forty-eight".