468000096 has 48 divisors (see below), whose sum is σ = 1293163200. Its totient is φ = 147788928.

The previous prime is 468000079. The next prime is 468000101. The reversal of 468000096 is 690000864.

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

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, 126466 + ... + 130113.

It is an arithmetic number, because the mean of its divisors is an integer number (26940900).

Almost surely, 2^468000096 is an apocalyptic number.

It is an amenable number.

468000096 is an abundant number, since it is smaller than the sum of its proper divisors (825163104).

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

468000096 is a wasteful number, since it uses less digits than its factorization.

468000096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256611 (or 256603 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 468000096 is about 21633.3098715846. The cubic root of 468000096 is about 776.3936607524.

The spelling of 468000096 in words is "four hundred sixty-eight million, ninety-six", and thus it is an aban number.