457289680 has 80 divisors (see below), whose sum is σ = 1145355264. Its totient is φ = 169297920.

The previous prime is 457289659. The next prime is 457289699. The reversal of 457289680 is 86982754.

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

It is a super-2 number, since 2×457289680² = 418227702869004800, which contains 22 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, 53032 + ... + 61048.

Almost surely, 2^457289680 is an apocalyptic number.

457289680 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 457289680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (572677632).

457289680 is an abundant number, since it is smaller than the sum of its proper divisors (688065584).

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

457289680 is a wasteful number, since it uses less digits than its factorization.

457289680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8084 (or 8078 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 49.

The square root of 457289680 is about 21384.3325825241. The cubic root of 457289680 is about 770.4251770011.

The spelling of 457289680 in words is "four hundred fifty-seven million, two hundred eighty-nine thousand, six hundred eighty".