459614016 has 168 divisors, whose sum is σ = 1362642944. Its totient is φ = 148055040.

The previous prime is 459613981. The next prime is 459614017. The reversal of 459614016 is 610416954.

It is a super-2 number, since 2×459614016² = 422490087407296512, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (459614017) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 3618945 + ... + 3619071.

Almost surely, 2^459614016 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 459614016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (681321472).

459614016 is an abundant number, since it is smaller than the sum of its proper divisors (903028928).

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

459614016 is a wasteful number, since it uses less digits than its factorization.

459614016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 459614016 is about 21438.6104027290. The cubic root of 459614016 is about 771.7282908262.

The spelling of 459614016 in words is "four hundred fifty-nine million, six hundred fourteen thousand, sixteen".