457606448880 has 960 divisors, whose sum is σ = 1796117898240. Its totient is φ = 95798427648.

The previous prime is 457606448867. The next prime is 457606448899. The reversal of 457606448880 is 88844606754.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1780569712 + ... + 1780569968.

It is an arithmetic number, because the mean of its divisors is an integer number (1870956144).

Almost surely, 2^457606448880 is an apocalyptic number.

457606448880 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 457606448880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (898058949120).

457606448880 is an abundant number, since it is smaller than the sum of its proper divisors (1338511449360).

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

457606448880 is a wasteful number, since it uses less digits than its factorization.

457606448880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 566 (or 553 counting only the distinct ones).

The product of its (nonzero) digits is 41287680, while the sum is 60.

The spelling of 457606448880 in words is "four hundred fifty-seven billion, six hundred six million, four hundred forty-eight thousand, eight hundred eighty".