459950640 has 160 divisors (see below), whose sum is σ = 1529902080. Its totient is φ = 113897472.

The previous prime is 459950639. The next prime is 459950677. The reversal of 459950640 is 46059954.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 459950592 and 459950601.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 321607 + ... + 323033.

It is an arithmetic number, because the mean of its divisors is an integer number (9561888).

Almost surely, 2^459950640 is an apocalyptic number.

459950640 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 459950640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (764951040).

459950640 is an abundant number, since it is smaller than the sum of its proper divisors (1069951440).

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

459950640 is a wasteful number, since it uses less digits than its factorization.

459950640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1539 (or 1533 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 42.

The square root of 459950640 is about 21446.4598477231. The cubic root of 459950640 is about 771.9166509566.

The spelling of 459950640 in words is "four hundred fifty-nine million, nine hundred fifty thousand, six hundred forty".