468135936 has 260 divisors, whose sum is σ = 1498559832. Its totient is φ = 145096704.

The previous prime is 468135923. The next prime is 468135937. The reversal of 468135936 is 639531864.

468135936 is a `hidden beast` number, since 46 + 8 + 13 + 593 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 468135891 and 468135900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (468135937) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 5640151 + ... + 5640233.

Almost surely, 2^468135936 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 468135936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (749279916).

468135936 is an abundant number, since it is smaller than the sum of its proper divisors (1030423896).

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

468135936 is an equidigital number, since it uses as much as digits as its factorization.

468135936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 105 counting only the distinct ones).

The product of its digits is 466560, while the sum is 45.

The square root of 468135936 is about 21636.4492465839. The cubic root of 468135936 is about 776.4687712160.

The spelling of 468135936 in words is "four hundred sixty-eight million, one hundred thirty-five thousand, nine hundred thirty-six".