459488016 has 180 divisors, whose sum is σ = 1415980800. Its totient is φ = 139007232.

The previous prime is 459488009. The next prime is 459488023. The reversal of 459488016 is 610884954.

It is an interprime number because it is at equal distance from previous prime (459488009) and next prime (459488023).

It is a super-2 number, since 2×459488016² = 422258473695232512, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1922425 + ... + 1922663.

It is an arithmetic number, because the mean of its divisors is an integer number (7866560).

Almost surely, 2^459488016 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 459488016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (707990400).

459488016 is an abundant number, since it is smaller than the sum of its proper divisors (956492784).

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

459488016 is a wasteful number, since it uses less digits than its factorization.

459488016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 358 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 459488016 is about 21435.6715780029. The cubic root of 459488016 is about 771.6577630585.

The spelling of 459488016 in words is "four hundred fifty-nine million, four hundred eighty-eight thousand, sixteen".