466948880 has 80 divisors (see below), whose sum is σ = 1130795184. Its totient is φ = 179159040.

The previous prime is 466948849. The next prime is 466948897. The reversal of 466948880 is 88849664.

It is a Cunningham number, because it is equal to 147⁴-1.

It can be written as a sum of positive squares in 8 ways, for example, as 29637136 + 437311744 = 5444^2 + 20912^2 .

It is a tau number, because it is divible by the number of its divisors (80).

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 15 ways as a sum of consecutive naturals, for example, 215000 + ... + 217160.

Almost surely, 2^466948880 is an apocalyptic number.

466948880 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 466948880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (565397592).

466948880 is an abundant number, since it is smaller than the sum of its proper divisors (663846304).

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

466948880 is a wasteful number, since it uses less digits than its factorization.

466948880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2284 (or 2278 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 53.

The square root of 466948880 is about 21608.9999768615. Note that the first 4 decimals coincide. The cubic root of 466948880 is about 775.8119163681.

The spelling of 466948880 in words is "four hundred sixty-six million, nine hundred forty-eight thousand, eight hundred eighty".