459418890 has 128 divisors (see below), whose sum is σ = 1303879680. Its totient is φ = 101426688.

The previous prime is 459418871. The next prime is 459418903. The reversal of 459418890 is 98814954.

It is a super-2 number, since 2×459418890² = 422131432977664200, which contains 22 as substring.

It is a Curzon 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 63 ways as a sum of consecutive naturals, for example, 878169 + ... + 878691.

It is an arithmetic number, because the mean of its divisors is an integer number (10186560).

Almost surely, 2^459418890 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 459418890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (651939840).

459418890 is an abundant number, since it is smaller than the sum of its proper divisors (844460790).

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

459418890 is a wasteful number, since it uses less digits than its factorization.

459418890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 676.

The product of its (nonzero) digits is 414720, while the sum is 48.

The square root of 459418890 is about 21434.0591116102. The cubic root of 459418890 is about 771.6190647045.

The spelling of 459418890 in words is "four hundred fifty-nine million, four hundred eighteen thousand, eight hundred ninety".