459869440 has 72 divisors (see below), whose sum is σ = 1105378848. Its totient is φ = 183306240.

The previous prime is 459869419. The next prime is 459869461. The reversal of 459869440 is 44968954.

It is an interprime number because it is at equal distance from previous prime (459869419) and next prime (459869461).

It is a super-2 number, since 2×459869440² = 422959803691827200, 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 7 ways as a sum of consecutive naturals, for example, 566635 + ... + 567445.

It is an arithmetic number, because the mean of its divisors is an integer number (15352484).

Almost surely, 2^459869440 is an apocalyptic number.

459869440 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 459869440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (552689424).

459869440 is an abundant number, since it is smaller than the sum of its proper divisors (645509408).

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

459869440 is an equidigital number, since it uses as much as digits as its factorization.

459869440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1275 (or 1261 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 49.

The square root of 459869440 is about 21444.5666778324. The cubic root of 459869440 is about 771.8712233857.

The spelling of 459869440 in words is "four hundred fifty-nine million, eight hundred sixty-nine thousand, four hundred forty".