468355360 has 48 divisors (see below), whose sum is σ = 1207084032. Its totient is φ = 170310400.

The previous prime is 468355351. The next prime is 468355367. The reversal of 468355360 is 63553864.

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

It is not an unprimeable number, because it can be changed into a prime (468355367) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 131296 + ... + 134815.

It is an arithmetic number, because the mean of its divisors is an integer number (25147584).

Almost surely, 2^468355360 is an apocalyptic number.

468355360 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

468355360 is an abundant number, since it is smaller than the sum of its proper divisors (738728672).

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

468355360 is a wasteful number, since it uses less digits than its factorization.

468355360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266137 (or 266129 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 40.

The square root of 468355360 is about 21641.5193551654. The cubic root of 468355360 is about 776.5900673738.

The spelling of 468355360 in words is "four hundred sixty-eight million, three hundred fifty-five thousand, three hundred sixty".