459952006360 has 384 divisors, whose sum is σ = 1380460838400. Its totient is φ = 136121610240.

The previous prime is 459952006351. The next prime is 459952006369. The reversal of 459952006360 is 63600259954.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (459952006351) and next prime (459952006369).

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (459952006369) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 68923984 + ... + 68930656.

It is an arithmetic number, because the mean of its divisors is an integer number (3594950100).

Almost surely, 2^459952006360 is an apocalyptic number.

459952006360 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 459952006360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (690230419200).

459952006360 is an abundant number, since it is smaller than the sum of its proper divisors (920508832040).

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

459952006360 is a wasteful number, since it uses less digits than its factorization.

459952006360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6871 (or 6860 counting only the distinct ones).

The product of its (nonzero) digits is 1749600, while the sum is 49.

The spelling of 459952006360 in words is "four hundred fifty-nine billion, nine hundred fifty-two million, six thousand, three hundred sixty".