459780640 has 192 divisors, whose sum is σ = 1275015168. Its totient is φ = 156119040.

The previous prime is 459780637. The next prime is 459780667. The reversal of 459780640 is 46087954.

It is a super-2 number, since 2×459780640² = 422796473837619200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3620257 + ... + 3620383.

It is an arithmetic number, because the mean of its divisors is an integer number (6640704).

Almost surely, 2^459780640 is an apocalyptic number.

459780640 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 459780640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (637507584).

459780640 is an abundant number, since it is smaller than the sum of its proper divisors (815234528).

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

459780640 is a wasteful number, since it uses less digits than its factorization.

459780640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 43.

The square root of 459780640 is about 21442.4961233528. The cubic root of 459780640 is about 771.8215378511.

The spelling of 459780640 in words is "four hundred fifty-nine million, seven hundred eighty thousand, six hundred forty".