468314080 has 96 divisors (see below), whose sum is σ = 1211359968. Its totient is φ = 170035200.

The previous prime is 468314029. The next prime is 468314081. The reversal of 468314080 is 80413864.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (468314081) 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, 125035 + ... + 128725.

It is an arithmetic number, because the mean of its divisors is an integer number (12618333).

Almost surely, 2^468314080 is an apocalyptic number.

468314080 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 468314080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (605679984).

468314080 is an abundant number, since it is smaller than the sum of its proper divisors (743045888).

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

468314080 is a wasteful number, since it uses less digits than its factorization.

468314080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3780 (or 3772 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 34.

The square root of 468314080 is about 21640.5656118319. The cubic root of 468314080 is about 776.5672509523.

The spelling of 468314080 in words is "four hundred sixty-eight million, three hundred fourteen thousand, eighty".