468416136 has 32 divisors (see below), whose sum is σ = 1172455200. Its totient is φ = 155950080.

The previous prime is 468416131. The next prime is 468416171. The reversal of 468416136 is 631614864.

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

It is a junction number, because it is equal to n+sod(n) for n = 468416094 and 468416103.

It is not an unprimeable number, because it can be changed into a prime (468416131) 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 7 ways as a sum of consecutive naturals, for example, 9256 + ... + 31976.

It is an arithmetic number, because the mean of its divisors is an integer number (36639225).

Almost surely, 2^468416136 is an apocalyptic number.

It is an amenable number.

468416136 is an abundant number, since it is smaller than the sum of its proper divisors (704039064).

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

468416136 is a wasteful number, since it uses less digits than its factorization.

468416136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23589 (or 23585 counting only the distinct ones).

The product of its digits is 82944, while the sum is 39.

The square root of 468416136 is about 21642.9234624161. The cubic root of 468416136 is about 776.6236572506.

The spelling of 468416136 in words is "four hundred sixty-eight million, four hundred sixteen thousand, one hundred thirty-six".