468827136 has 176 divisors, whose sum is σ = 1435847680. Its totient is φ = 150958080.

The previous prime is 468827131. The next prime is 468827141. The reversal of 468827136 is 631728864.

It is an interprime number because it is at equal distance from previous prime (468827131) and next prime (468827141).

It is a junction number, because it is equal to n+sod(n) for n = 468827091 and 468827100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (468827131) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 856815 + ... + 857361.

Almost surely, 2^468827136 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 468827136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (717923840).

468827136 is an abundant number, since it is smaller than the sum of its proper divisors (967020544).

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

468827136 is a wasteful number, since it uses less digits than its factorization.

468827136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 607 (or 583 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The square root of 468827136 is about 21652.4164009470. The cubic root of 468827136 is about 776.8507338379.

The spelling of 468827136 in words is "four hundred sixty-eight million, eight hundred twenty-seven thousand, one hundred thirty-six".