468886720 has 56 divisors (see below), whose sum is σ = 1126504224. Its totient is φ = 185880576.

The previous prime is 468886709. The next prime is 468886721. The reversal of 468886720 is 27688864.

It is not an unprimeable number, because it can be changed into a prime (468886721) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29677 + ... + 42643.

Almost surely, 2^468886720 is an apocalyptic number.

468886720 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 468886720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (563252112).

468886720 is an abundant number, since it is smaller than the sum of its proper divisors (657617504).

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

468886720 is a wasteful number, since it uses less digits than its factorization.

468886720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13097 (or 13087 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 49.

The square root of 468886720 is about 21653.7922775665. The cubic root of 468886720 is about 776.8836428498.

The spelling of 468886720 in words is "four hundred sixty-eight million, eight hundred eighty-six thousand, seven hundred twenty".