457834608 has 240 divisors, whose sum is σ = 1613753856. Its totient is φ = 117711360.

The previous prime is 457834591. The next prime is 457834609. The reversal of 457834608 is 806438754.

457834608 is a `hidden beast` number, since 4 + 5 + 7 + 8 + 34 + 608 = 666.

It is a super-2 number, since 2×457834608² = 419225056565027328, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (457834609) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1740685 + ... + 1740947.

Almost surely, 2^457834608 is an apocalyptic number.

457834608 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 457834608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (806876928).

457834608 is an abundant number, since it is smaller than the sum of its proper divisors (1155919248).

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

457834608 is a wasteful number, since it uses less digits than its factorization.

457834608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 452 (or 443 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The square root of 457834608 is about 21397.0700798030. The cubic root of 457834608 is about 770.7310805438.

The spelling of 457834608 in words is "four hundred fifty-seven million, eight hundred thirty-four thousand, six hundred eight".