459645456 has 80 divisors (see below), whose sum is σ = 1265169024. Its totient is φ = 143296512.

The previous prime is 459645427. The next prime is 459645457. The reversal of 459645456 is 654546954.

It is a super-3 number, since 3×459645456³ (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (459645457) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 134586 + ... + 137958.

Almost surely, 2^459645456 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 459645456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (632584512).

459645456 is an abundant number, since it is smaller than the sum of its proper divisors (805523568).

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

459645456 is a wasteful number, since it uses less digits than its factorization.

459645456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3568 (or 3562 counting only the distinct ones).

The product of its digits is 2592000, while the sum is 48.

The square root of 459645456 is about 21439.3436466698. The cubic root of 459645456 is about 771.7458871740.

The spelling of 459645456 in words is "four hundred fifty-nine million, six hundred forty-five thousand, four hundred fifty-six".