457327680 has 112 divisors (see below), whose sum is σ = 1502176320. Its totient is φ = 117741568.

The previous prime is 457327649. The next prime is 457327721. The reversal of 457327680 is 86723754.

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, 19627 + ... + 36053.

Almost surely, 2^457327680 is an apocalyptic number.

457327680 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 457327680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (751088160).

457327680 is an abundant number, since it is smaller than the sum of its proper divisors (1044848640).

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

457327680 is a wasteful number, since it uses less digits than its factorization.

457327680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16476 (or 16466 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 42.

The square root of 457327680 is about 21385.2210650253. The cubic root of 457327680 is about 770.4465167536.

The spelling of 457327680 in words is "four hundred fifty-seven million, three hundred twenty-seven thousand, six hundred eighty".