468835680 has 96 divisors (see below), whose sum is σ = 1541078784. Its totient is φ = 119584256.

The previous prime is 468835607. The next prime is 468835681. The reversal of 468835680 is 86538864.

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

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (468835681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10194 + ... + 32273.

It is an arithmetic number, because the mean of its divisors is an integer number (16052904).

Almost surely, 2^468835680 is an apocalyptic number.

468835680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

468835680 is an abundant number, since it is smaller than the sum of its proper divisors (1072243104).

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

468835680 is a wasteful number, since it uses less digits than its factorization.

468835680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42508 (or 42500 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 48.

The square root of 468835680 is about 21652.6136990434. The cubic root of 468835680 is about 776.8554529706.

The spelling of 468835680 in words is "four hundred sixty-eight million, eight hundred thirty-five thousand, six hundred eighty".