468238056 has 192 divisors, whose sum is σ = 1412140800. Its totient is φ = 128494080.

The previous prime is 468238039. The next prime is 468238079. The reversal of 468238056 is 650832864.

It is a super-3 number, since 3×468238056³ (a number of 27 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 468237999 and 468238017.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2982330 + ... + 2982486.

It is an arithmetic number, because the mean of its divisors is an integer number (7354900).

Almost surely, 2^468238056 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 468238056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (706070400).

468238056 is an abundant number, since it is smaller than the sum of its proper divisors (943902744).

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

468238056 is a wasteful number, since it uses less digits than its factorization.

468238056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 42.

The square root of 468238056 is about 21638.8090245281. The cubic root of 468238056 is about 776.5252272008.

The spelling of 468238056 in words is "four hundred sixty-eight million, two hundred thirty-eight thousand, fifty-six".