468057680 has 80 divisors (see below), whose sum is σ = 1131958800. Its totient is φ = 179773440.

The previous prime is 468057671. The next prime is 468057691. The reversal of 468057680 is 86750864.

It can be written as a sum of positive squares in 8 ways, for example, as 287296 + 467770384 = 536^2 + 21628^2 .

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

It is a super-5 number, since 5×468057680⁵ (a number of 45 digits) contains 55555 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 530840 + ... + 531720.

It is an arithmetic number, because the mean of its divisors is an integer number (14149485).

Almost surely, 2^468057680 is an apocalyptic number.

468057680 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 468057680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (565979400).

468057680 is an abundant number, since it is smaller than the sum of its proper divisors (663901120).

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

468057680 is a wasteful number, since it uses less digits than its factorization.

468057680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1152 (or 1146 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 44.

The square root of 468057680 is about 21634.6407411817. The cubic root of 468057680 is about 776.4255026397.

The spelling of 468057680 in words is "four hundred sixty-eight million, fifty-seven thousand, six hundred eighty".