457801680 has 160 divisors (see below), whose sum is σ = 1628467200. Its totient is φ = 104219136.

The previous prime is 457801657. The next prime is 457801691. The reversal of 457801680 is 86108754.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 636361 + ... + 637079.

It is an arithmetic number, because the mean of its divisors is an integer number (10177920).

Almost surely, 2^457801680 is an apocalyptic number.

457801680 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 457801680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (814233600).

457801680 is an abundant number, since it is smaller than the sum of its proper divisors (1170665520).

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

457801680 is a wasteful number, since it uses less digits than its factorization.

457801680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1121 (or 1115 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 39.

The square root of 457801680 is about 21396.3006148259. The cubic root of 457801680 is about 770.7126028075.

The spelling of 457801680 in words is "four hundred fifty-seven million, eight hundred one thousand, six hundred eighty".