467118080 has 288 divisors, whose sum is σ = 1372480200. Its totient is φ = 151388160.

The previous prime is 467118079. The next prime is 467118121. The reversal of 467118080 is 80811764.

It can be written as a sum of positive squares in 4 ways, for example, as 297493504 + 169624576 = 17248^2 + 13024^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 467118080.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16107506 + ... + 16107534.

Almost surely, 2^467118080 is an apocalyptic number.

467118080 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 467118080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (686240100).

467118080 is an abundant number, since it is smaller than the sum of its proper divisors (905362120).

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

467118080 is a wasteful number, since it uses less digits than its factorization.

467118080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 35.

The square root of 467118080 is about 21612.9146576763. The cubic root of 467118080 is about 775.9056107959.

The spelling of 467118080 in words is "four hundred sixty-seven million, one hundred eighteen thousand, eighty".