457612978368 has 448 divisors, whose sum is σ = 1513292497920. Its totient is φ = 118831104000.

The previous prime is 457612978363. The next prime is 457612978369. The reversal of 457612978368 is 863879216754.

It is a tau number, because it is divible by the number of its divisors (448).

It is a junction number, because it is equal to n+sod(n) for n = 457612978299 and 457612978308.

It is not an unprimeable number, because it can be changed into a prime (457612978363) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 372345178 + ... + 372346406.

It is an arithmetic number, because the mean of its divisors is an integer number (3377885040).

Almost surely, 2^457612978368 is an apocalyptic number.

457612978368 is a gapful number since it is divisible by the number (48) 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 457612978368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (756646248960).

457612978368 is an abundant number, since it is smaller than the sum of its proper divisors (1055679519552).

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

457612978368 is a wasteful number, since it uses less digits than its factorization.

457612978368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1576 (or 1566 counting only the distinct ones).

The product of its digits is 121927680, while the sum is 66.

The spelling of 457612978368 in words is "four hundred fifty-seven billion, six hundred twelve million, nine hundred seventy-eight thousand, three hundred sixty-eight".