459456340 has 72 divisors (see below), whose sum is σ = 1125677952. Its totient is φ = 157066560.

The previous prime is 459456329. The next prime is 459456353. The reversal of 459456340 is 43654954.

It is a super-2 number, since 2×459456340² = 422200256732391200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 459456293 and 459456302.

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 23 ways as a sum of consecutive naturals, for example, 618009 + ... + 618751.

It is an arithmetic number, because the mean of its divisors is an integer number (15634416).

Almost surely, 2^459456340 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 459456340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (562838976).

459456340 is an abundant number, since it is smaller than the sum of its proper divisors (666221612).

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

459456340 is a wasteful number, since it uses less digits than its factorization.

459456340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1397 (or 1388 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 40.

The square root of 459456340 is about 21434.9327034166. The cubic root of 459456340 is about 771.6400305735.

The spelling of 459456340 in words is "four hundred fifty-nine million, four hundred fifty-six thousand, three hundred forty".