468766176 has 96 divisors (see below), whose sum is σ = 1302013440. Its totient is φ = 147262464.

The previous prime is 468766169. The next prime is 468766183. The reversal of 468766176 is 671667864.

It is an interprime number because it is at equal distance from previous prime (468766169) and next prime (468766183).

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 424441 + ... + 425543.

It is an arithmetic number, because the mean of its divisors is an integer number (13562640).

Almost surely, 2^468766176 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 468766176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (651006720).

468766176 is an abundant number, since it is smaller than the sum of its proper divisors (833247264).

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

468766176 is a wasteful number, since it uses less digits than its factorization.

468766176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1368 (or 1360 counting only the distinct ones).

The product of its digits is 2032128, while the sum is 51.

The square root of 468766176 is about 21651.0086601063. The cubic root of 468766176 is about 776.8170619578.

The spelling of 468766176 in words is "four hundred sixty-eight million, seven hundred sixty-six thousand, one hundred seventy-six".