468824080 has 20 divisors (see below), whose sum is σ = 1090016172. Its totient is φ = 187529600.

The previous prime is 468824051. The next prime is 468824099. The reversal of 468824080 is 80428864.

It can be written as a sum of positive squares in 2 ways, for example, as 118984464 + 349839616 = 10908^2 + 18704^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a Harshad number since it is a multiple of its sum of digits (40).

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 3 ways as a sum of consecutive naturals, for example, 2930071 + ... + 2930230.

Almost surely, 2^468824080 is an apocalyptic number.

468824080 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

468824080 is an abundant number, since it is smaller than the sum of its proper divisors (621192092).

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

468824080 is a wasteful number, since it uses less digits than its factorization.

468824080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5860314 (or 5860308 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 40.

The square root of 468824080 is about 21652.3458313412. The cubic root of 468824080 is about 776.8490458945.

The spelling of 468824080 in words is "four hundred sixty-eight million, eight hundred twenty-four thousand, eighty".