459138944 has 64 divisors (see below), whose sum is σ = 1014940800. Its totient is φ = 205125120.

The previous prime is 459138931. The next prime is 459138959. The reversal of 459138944 is 449831954.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 80309 + ... + 85835.

It is an arithmetic number, because the mean of its divisors is an integer number (15858450).

Almost surely, 2^459138944 is an apocalyptic number.

459138944 is a gapful number since it is divisible by the number (44) 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 459138944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (507470400).

459138944 is an abundant number, since it is smaller than the sum of its proper divisors (555801856).

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

459138944 is a wasteful number, since it uses less digits than its factorization.

459138944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5611 (or 5599 counting only the distinct ones).

The product of its digits is 622080, while the sum is 47.

The square root of 459138944 is about 21427.5277155345. The cubic root of 459138944 is about 771.4623046716.

The spelling of 459138944 in words is "four hundred fifty-nine million, one hundred thirty-eight thousand, nine hundred forty-four".