457427986128 has 720 divisors, whose sum is σ = 1469026690560. Its totient is φ = 137560550400.

The previous prime is 457427986087. The next prime is 457427986129. The reversal of 457427986128 is 821689724754.

It is a happy number.

457427986128 is a `hidden beast` number, since 4 + 5 + 7 + 4 + 2 + 7 + 9 + 8 + 612 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (457427986129) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3491816623 + ... + 3491816753.

It is an arithmetic number, because the mean of its divisors is an integer number (2040314848).

Almost surely, 2^457427986128 is an apocalyptic number.

457427986128 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 457427986128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (734513345280).

457427986128 is an abundant number, since it is smaller than the sum of its proper divisors (1011598704432).

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

457427986128 is a wasteful number, since it uses less digits than its factorization.

457427986128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 233 counting only the distinct ones).

The product of its digits is 54190080, while the sum is 63.

The spelling of 457427986128 in words is "four hundred fifty-seven billion, four hundred twenty-seven million, nine hundred eighty-six thousand, one hundred twenty-eight".