468296136 has 216 divisors, whose sum is σ = 1623167910. Its totient is φ = 121524480.

The previous prime is 468296119. The next prime is 468296141. The reversal of 468296136 is 631692864.

468296136 is a `hidden beast` number, since 4 + 6 + 8 + 29 + 613 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 432224100 + 36072036 = 20790^2 + 6006^2 .

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 = 468296091 and 468296100.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 426340 + ... + 427436.

Almost surely, 2^468296136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 468296136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (811583955).

468296136 is an abundant number, since it is smaller than the sum of its proper divisors (1154871774).

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

468296136 is a wasteful number, since it uses less digits than its factorization.

468296136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1145 (or 1120 counting only the distinct ones).

The product of its digits is 373248, while the sum is 45.

The square root of 468296136 is about 21640.1510161089. The cubic root of 468296136 is about 776.5573324658.

The spelling of 468296136 in words is "four hundred sixty-eight million, two hundred ninety-six thousand, one hundred thirty-six".