467180896 has 216 divisors, whose sum is σ = 1214418744. Its totient is φ = 176117760.

The previous prime is 467180891. The next prime is 467180921. The reversal of 467180896 is 698081764.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (467180891) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 10864651 + ... + 10864693.

It is an arithmetic number, because the mean of its divisors is an integer number (5622309).

Almost surely, 2^467180896 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 467180896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (607209372).

467180896 is an abundant number, since it is smaller than the sum of its proper divisors (747237848).

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

467180896 is a wasteful number, since it uses less digits than its factorization.

467180896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 49.

The square root of 467180896 is about 21614.3678140259. The cubic root of 467180896 is about 775.9403893700.

The spelling of 467180896 in words is "four hundred sixty-seven million, one hundred eighty thousand, eight hundred ninety-six".