459600000096 has 48 divisors (see below), whose sum is σ = 1206485280000. Its totient is φ = 153195520128.

The previous prime is 459600000073. The next prime is 459600000121. The reversal of 459600000096 is 690000006954.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×459600000096² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5662005 + ... + 5742603.

It is an arithmetic number, because the mean of its divisors is an integer number (25135110000).

Almost surely, 2^459600000096 is an apocalyptic number.

It is an amenable number.

459600000096 is an abundant number, since it is smaller than the sum of its proper divisors (746885279904).

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

459600000096 is a wasteful number, since it uses less digits than its factorization.

459600000096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140011 (or 140003 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 39.

The spelling of 459600000096 in words is "four hundred fifty-nine billion, six hundred million, ninety-six", and thus it is an aban number.