468027040 has 96 divisors (see below), whose sum is σ = 1205559936. Its totient is φ = 170664960.

The previous prime is 468026929. The next prime is 468027071. The reversal of 468027040 is 40720864.

It is a junction number, because it is equal to n+sod(n) for n = 468026993 and 468027011.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 171285 + ... + 173995.

It is an arithmetic number, because the mean of its divisors is an integer number (12557916).

Almost surely, 2^468027040 is an apocalyptic number.

468027040 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 468027040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (602779968).

468027040 is an abundant number, since it is smaller than the sum of its proper divisors (737532896).

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

468027040 is a wasteful number, since it uses less digits than its factorization.

468027040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2822 (or 2814 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 31.

The square root of 468027040 is about 21633.9326059780. The cubic root of 468027040 is about 776.4085601434.

The spelling of 468027040 in words is "four hundred sixty-eight million, twenty-seven thousand, forty".