468057840 has 160 divisors (see below), whose sum is σ = 1527330816. Its totient is φ = 118410240.

The previous prime is 468057829. The next prime is 468057869. The reversal of 468057840 is 48750864.

It is a junction number, because it is equal to n+sod(n) for n = 468057792 and 468057801.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 393727 + ... + 394913.

Almost surely, 2^468057840 is an apocalyptic number.

468057840 is a gapful number since it is divisible by the number (40) 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 468057840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (763665408).

468057840 is an abundant number, since it is smaller than the sum of its proper divisors (1059272976).

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

468057840 is a wasteful number, since it uses less digits than its factorization.

468057840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1287 (or 1281 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 42.

The square root of 468057840 is about 21634.6444389548. The cubic root of 468057840 is about 776.4255911104.

It can be divided in two parts, 46805 and 7840, that added together give a palindrome (54645).

The spelling of 468057840 in words is "four hundred sixty-eight million, fifty-seven thousand, eight hundred forty".