468782136 has 192 divisors, whose sum is σ = 1428710400. Its totient is φ = 138150144.

The previous prime is 468782131. The next prime is 468782137. The reversal of 468782136 is 631287864.

It is a junction number, because it is equal to n+sod(n) for n = 468782091 and 468782100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (468782131) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1478650 + ... + 1478966.

It is an arithmetic number, because the mean of its divisors is an integer number (7441200).

Almost surely, 2^468782136 is an apocalyptic number.

468782136 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 468782136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (714355200).

468782136 is an abundant number, since it is smaller than the sum of its proper divisors (959928264).

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

468782136 is a wasteful number, since it uses less digits than its factorization.

468782136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 418 (or 411 counting only the distinct ones).

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

The square root of 468782136 is about 21651.3772310216. The cubic root of 468782136 is about 776.8258779093.

The spelling of 468782136 in words is "four hundred sixty-eight million, seven hundred eighty-two thousand, one hundred thirty-six".