468391680 has 144 divisors (see below), whose sum is σ = 1662262560. Its totient is φ = 124895232.

The previous prime is 468391657. The next prime is 468391681. The reversal of 468391680 is 86193864.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (468391681) 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, 27784 + ... + 41336.

It is an arithmetic number, because the mean of its divisors is an integer number (11543490).

Almost surely, 2^468391680 is an apocalyptic number.

468391680 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 468391680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (831131280).

468391680 is an abundant number, since it is smaller than the sum of its proper divisors (1193870880).

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

468391680 is a wasteful number, since it uses less digits than its factorization.

468391680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13583 (or 13563 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 468391680 is about 21642.3584666736. The cubic root of 468391680 is about 776.6101411786.

The spelling of 468391680 in words is "four hundred sixty-eight million, three hundred ninety-one thousand, six hundred eighty".