468934480 has 80 divisors (see below), whose sum is σ = 1263204864. Its totient is φ = 158561280.

The previous prime is 468934471. The next prime is 468934483. The reversal of 468934480 is 84439864.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 468934480.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (468934483) 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, 35145 + ... + 46615.

Almost surely, 2^468934480 is an apocalyptic number.

468934480 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 468934480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (631602432).

468934480 is an abundant number, since it is smaller than the sum of its proper divisors (794270384).

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

468934480 is a wasteful number, since it uses less digits than its factorization.

468934480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11564 (or 11558 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 46.

The square root of 468934480 is about 21654.8950586236. The cubic root of 468934480 is about 776.9100193010.

The spelling of 468934480 in words is "four hundred sixty-eight million, nine hundred thirty-four thousand, four hundred eighty".