468382368 has 48 divisors (see below), whose sum is σ = 1301832000. Its totient is φ = 146942976.

The previous prime is 468382361. The next prime is 468382391. The reversal of 468382368 is 863283864.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (468382361) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 141868 + ... + 145131.

It is an arithmetic number, because the mean of its divisors is an integer number (27121500).

Almost surely, 2^468382368 is an apocalyptic number.

468382368 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

468382368 is an abundant number, since it is smaller than the sum of its proper divisors (833449632).

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

468382368 is a wasteful number, since it uses less digits than its factorization.

468382368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287029 (or 287021 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 48.

The square root of 468382368 is about 21642.1433319346. The cubic root of 468382368 is about 776.6049946016.

The spelling of 468382368 in words is "four hundred sixty-eight million, three hundred eighty-two thousand, three hundred sixty-eight".