459454464 has 192 divisors, whose sum is σ = 1556755200. Its totient is φ = 131162112.

The previous prime is 459454459. The next prime is 459454477. The reversal of 459454464 is 464454954.

459454464 is a `hidden beast` number, since 4 + 594 + 54 + 4 + 6 + 4 = 666.

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

It is a super-2 number, since 2×459454464² = 422196808979054592, which contains 22 as substring.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 386479 + ... + 387665.

It is an arithmetic number, because the mean of its divisors is an integer number (8108100).

Almost surely, 2^459454464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 459454464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (778377600).

459454464 is an abundant number, since it is smaller than the sum of its proper divisors (1097300736).

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

459454464 is a wasteful number, since it uses less digits than its factorization.

459454464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1225 (or 1199 counting only the distinct ones).

The product of its digits is 1382400, while the sum is 45.

The square root of 459454464 is about 21434.8889430293. Note that the first 3 decimals coincide. The cubic root of 459454464 is about 771.6389803478.

The spelling of 459454464 in words is "four hundred fifty-nine million, four hundred fifty-four thousand, four hundred sixty-four".