459354248640 has 448 divisors, whose sum is σ = 1865551564800. Its totient is φ = 104226988032.

The previous prime is 459354248501. The next prime is 459354248651. The reversal of 459354248640 is 46842453954.

459354248640 is a `hidden beast` number, since 4 + 5 + 9 + 354 + 248 + 6 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×459354248640² (a number of 24 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8258041 + ... + 8313479.

It is an arithmetic number, because the mean of its divisors is an integer number (4164177600).

Almost surely, 2^459354248640 is an apocalyptic number.

459354248640 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 459354248640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (932775782400).

459354248640 is an abundant number, since it is smaller than the sum of its proper divisors (1406197316160).

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

459354248640 is a wasteful number, since it uses less digits than its factorization.

459354248640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55609 (or 55593 counting only the distinct ones).

The product of its (nonzero) digits is 16588800, while the sum is 54.

The spelling of 459354248640 in words is "four hundred fifty-nine billion, three hundred fifty-four million, two hundred forty-eight thousand, six hundred forty".