459097367040 has 480 divisors, whose sum is σ = 1722056656320. Its totient is φ = 112364126208.

The previous prime is 459097367033. The next prime is 459097367147. The reversal of 459097367040 is 40763790954.

It is a happy number.

459097367040 is a `hidden beast` number, since 4 + 590 + 9 + 7 + 3 + 6 + 7 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 53609799 + ... + 53618361.

It is an arithmetic number, because the mean of its divisors is an integer number (3587618034).

Almost surely, 2^459097367040 is an apocalyptic number.

459097367040 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 459097367040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (861028328160).

459097367040 is an abundant number, since it is smaller than the sum of its proper divisors (1262959289280).

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

459097367040 is a wasteful number, since it uses less digits than its factorization.

459097367040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8784 (or 8765 counting only the distinct ones).

The product of its (nonzero) digits is 5715360, while the sum is 54.

The spelling of 459097367040 in words is "four hundred fifty-nine billion, ninety-seven million, three hundred sixty-seven thousand, forty".