459964242 has 48 divisors (see below), whose sum is σ = 1026492480. Its totient is φ = 148745376.

The previous prime is 459964229. The next prime is 459964247. The reversal of 459964242 is 242469954.

It is not an unprimeable number, because it can be changed into a prime (459964247) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 294259 + ... + 295817.

It is an arithmetic number, because the mean of its divisors is an integer number (21385260).

Almost surely, 2^459964242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 459964242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (513246240).

459964242 is an abundant number, since it is smaller than the sum of its proper divisors (566528238).

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

459964242 is a wasteful number, since it uses less digits than its factorization.

459964242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2047 (or 2044 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The square root of 459964242 is about 21446.7769606531. The cubic root of 459964242 is about 771.9242601114.

The spelling of 459964242 in words is "four hundred fifty-nine million, nine hundred sixty-four thousand, two hundred forty-two".