468984040 has 64 divisors (see below), whose sum is σ = 1209283200. Its totient is φ = 160351488.

The previous prime is 468983989. The next prime is 468984041. The reversal of 468984040 is 40489864.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (468984041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 109051 + ... + 113269.

It is an arithmetic number, because the mean of its divisors is an integer number (18895050).

Almost surely, 2^468984040 is an apocalyptic number.

468984040 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 468984040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (604641600).

468984040 is an abundant number, since it is smaller than the sum of its proper divisors (740299160).

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

468984040 is a wasteful number, since it uses less digits than its factorization.

468984040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4634 (or 4630 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 43.

The square root of 468984040 is about 21656.0393424098. The cubic root of 468984040 is about 776.9373879462.

The spelling of 468984040 in words is "four hundred sixty-eight million, nine hundred eighty-four thousand, forty".