459759440 has 160 divisors (see below), whose sum is σ = 1274608896. Its totient is φ = 150958080.

The previous prime is 459759439. The next prime is 459759479. The reversal of 459759440 is 44957954.

It is a super-2 number, since 2×459759440² = 422757485338227200, 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 (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1468724 + ... + 1469036.

Almost surely, 2^459759440 is an apocalyptic number.

459759440 is a gapful number since it is divisible by the number (40) 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 459759440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (637304448).

459759440 is an abundant number, since it is smaller than the sum of its proper divisors (814849456).

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

459759440 is a wasteful number, since it uses less digits than its factorization.

459759440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 47.

The square root of 459759440 is about 21442.0017722227. The cubic root of 459759440 is about 771.8096750433.

The spelling of 459759440 in words is "four hundred fifty-nine million, seven hundred fifty-nine thousand, four hundred forty".