459085840 has 20 divisors (see below), whose sum is σ = 1067374764. Its totient is φ = 183634304.

The previous prime is 459085813. The next prime is 459085843. The reversal of 459085840 is 48580954.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 334450944 + 124634896 = 18288^2 + 11164^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is not an unprimeable number, because it can be changed into a prime (459085843) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2869207 + ... + 2869366.

Almost surely, 2^459085840 is an apocalyptic number.

459085840 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

459085840 is an abundant number, since it is smaller than the sum of its proper divisors (608288924).

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

459085840 is a wasteful number, since it uses less digits than its factorization.

459085840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5738586 (or 5738580 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 43.

The square root of 459085840 is about 21426.2885260140. The cubic root of 459085840 is about 771.4325610872.

The spelling of 459085840 in words is "four hundred fifty-nine million, eighty-five thousand, eight hundred forty".