457351680 has 320 divisors, whose sum is σ = 1612182528. Its totient is φ = 110100480.

The previous prime is 457351673. The next prime is 457351691. The reversal of 457351680 is 86153754.

It is a tau number, because it is divible by the number of its divisors (320).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4047304 + ... + 4047416.

Almost surely, 2^457351680 is an apocalyptic number.

457351680 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 457351680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (806091264).

457351680 is an abundant number, since it is smaller than the sum of its proper divisors (1154830848).

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

457351680 is a wasteful number, since it uses less digits than its factorization.

457351680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 39.

The square root of 457351680 is about 21385.7821928495. The cubic root of 457351680 is about 770.4599938830.

The spelling of 457351680 in words is "four hundred fifty-seven million, three hundred fifty-one thousand, six hundred eighty".