468413920 has 144 divisors (see below), whose sum is σ = 1270034640. Its totient is φ = 162619392.

The previous prime is 468413899. The next prime is 468413963. The reversal of 468413920 is 29314864.

It is a self number, because there is not a number n which added to its sum of digits gives 468413920.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 459171 + ... + 460189.

It is an arithmetic number, because the mean of its divisors is an integer number (8819685).

Almost surely, 2^468413920 is an apocalyptic number.

468413920 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 468413920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (635017320).

468413920 is an abundant number, since it is smaller than the sum of its proper divisors (801620720).

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

468413920 is a wasteful number, since it uses less digits than its factorization.

468413920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1077 (or 1056 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 37.

The square root of 468413920 is about 21642.8722677929. The cubic root of 468413920 is about 776.6224325556.

The spelling of 468413920 in words is "four hundred sixty-eight million, four hundred thirteen thousand, nine hundred twenty".