459199489140 has 576 divisors, whose sum is σ = 1712780439552. Its totient is φ = 97305753600.

The previous prime is 459199489139. The next prime is 459199489187. The reversal of 459199489140 is 41984991954.

459199489140 is a `hidden beast` number, since 4 + 5 + 9 + 1 + 9 + 9 + 489 + 140 = 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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 193672155 + ... + 193674525.

It is an arithmetic number, because the mean of its divisors is an integer number (2973577152).

Almost surely, 2^459199489140 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 459199489140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (856390219776).

459199489140 is an abundant number, since it is smaller than the sum of its proper divisors (1253580950412).

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

459199489140 is a wasteful number, since it uses less digits than its factorization.

459199489140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2620 (or 2615 counting only the distinct ones).

The product of its (nonzero) digits is 16796160, while the sum is 63.

The spelling of 459199489140 in words is "four hundred fifty-nine billion, one hundred ninety-nine million, four hundred eighty-nine thousand, one hundred forty".