457630680 has 128 divisors (see below), whose sum is σ = 1526353920. Its totient is φ = 109002240.

The previous prime is 457630669. The next prime is 457630739. The reversal of 457630680 is 86036754.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

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, 43629 + ... + 53091.

It is an arithmetic number, because the mean of its divisors is an integer number (11924640).

Almost surely, 2^457630680 is an apocalyptic number.

457630680 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 457630680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (763176960).

457630680 is an abundant number, since it is smaller than the sum of its proper divisors (1068723240).

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

457630680 is a wasteful number, since it uses less digits than its factorization.

457630680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9521 (or 9517 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

The square root of 457630680 is about 21392.3042237156. The cubic root of 457630680 is about 770.6166309247.

The spelling of 457630680 in words is "four hundred fifty-seven million, six hundred thirty thousand, six hundred eighty".