457839648 has 384 divisors, whose sum is σ = 1664893440. Its totient is φ = 119439360.

The previous prime is 457839647. The next prime is 457839649. The reversal of 457839648 is 846938754.

457839648 is a `hidden beast` number, since 4 + 578 + 3 + 9 + 64 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (457839647) and next prime (457839649).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 457839594 and 457839603.

It is not an unprimeable number, because it can be changed into a prime (457839647) 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, 6271740 + ... + 6271812.

It is an arithmetic number, because the mean of its divisors is an integer number (4335660).

Almost surely, 2^457839648 is an apocalyptic number.

457839648 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 457839648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (832446720).

457839648 is an abundant number, since it is smaller than the sum of its proper divisors (1207053792).

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

457839648 is a wasteful number, since it uses less digits than its factorization.

457839648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 163 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 54.

The square root of 457839648 is about 21397.1878526128. The cubic root of 457839648 is about 770.7339086906.

The spelling of 457839648 in words is "four hundred fifty-seven million, eight hundred thirty-nine thousand, six hundred forty-eight".