459994308480 has 1280 divisors, whose sum is σ = 1961702645760. Its totient is φ = 100508221440.

The previous prime is 459994308419. The next prime is 459994308491. The reversal of 459994308480 is 84803499954.

459994308480 is a `hidden beast` number, since 4 + 599 + 9 + 4 + 30 + 8 + 4 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1158675642 + ... + 1158676038.

It is an arithmetic number, because the mean of its divisors is an integer number (1532580192).

Almost surely, 2^459994308480 is an apocalyptic number.

459994308480 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 459994308480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (980851322880).

459994308480 is an abundant number, since it is smaller than the sum of its proper divisors (1501708337280).

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

459994308480 is a wasteful number, since it uses less digits than its factorization.

459994308480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 569 (or 548 counting only the distinct ones).

The product of its (nonzero) digits is 44789760, while the sum is 63.

The spelling of 459994308480 in words is "four hundred fifty-nine billion, nine hundred ninety-four million, three hundred eight thousand, four hundred eighty".