459855984 has 320 divisors, whose sum is σ = 1542758400. Its totient is φ = 117411840.

The previous prime is 459855937. The next prime is 459855989. The reversal of 459855984 is 489558954.

It is a happy number.

It is a super-2 number, since 2×459855984² = 422935052041216512, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (459855989) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8676502 + ... + 8676554.

It is an arithmetic number, because the mean of its divisors is an integer number (4821120).

Almost surely, 2^459855984 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 459855984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (771379200).

459855984 is an abundant number, since it is smaller than the sum of its proper divisors (1082902416).

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

459855984 is a wasteful number, since it uses less digits than its factorization.

459855984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 113 counting only the distinct ones).

The product of its digits is 10368000, while the sum is 57.

The square root of 459855984 is about 21444.2529363930. The cubic root of 459855984 is about 771.8636948718.

The spelling of 459855984 in words is "four hundred fifty-nine million, eight hundred fifty-five thousand, nine hundred eighty-four".