468126940 has 48 divisors (see below), whose sum is σ = 1036828800. Its totient is φ = 177049152.

The previous prime is 468126937. The next prime is 468126941. The reversal of 468126940 is 49621864.

It is a junction number, because it is equal to n+sod(n) for n = 468126893 and 468126902.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (468126941) 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 15 ways as a sum of consecutive naturals, for example, 279987 + ... + 281653.

It is an arithmetic number, because the mean of its divisors is an integer number (21600600).

Almost surely, 2^468126940 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 468126940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (518414400).

468126940 is an abundant number, since it is smaller than the sum of its proper divisors (568701860).

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

468126940 is a wasteful number, since it uses less digits than its factorization.

468126940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2434 (or 2432 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 40.

The square root of 468126940 is about 21636.2413556514. The cubic root of 468126940 is about 776.4637974770.

The spelling of 468126940 in words is "four hundred sixty-eight million, one hundred twenty-six thousand, nine hundred forty".