457627405312 has 528 divisors, whose sum is σ = 1248103128384. Its totient is φ = 163499212800.

The previous prime is 457627405297. The next prime is 457627405343. The reversal of 457627405312 is 213504726754.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 604527238 + ... + 604527994.

Almost surely, 2^457627405312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 457627405312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (624051564192).

457627405312 is an abundant number, since it is smaller than the sum of its proper divisors (790475723072).

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

457627405312 is a wasteful number, since it uses less digits than its factorization.

457627405312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 864 (or 835 counting only the distinct ones).

The product of its (nonzero) digits is 1411200, while the sum is 46.

The spelling of 457627405312 in words is "four hundred fifty-seven billion, six hundred twenty-seven million, four hundred five thousand, three hundred twelve".