457083648 has 360 divisors, whose sum is σ = 1614531072. Its totient is φ = 125908992.

The previous prime is 457083647. The next prime is 457083667. The reversal of 457083648 is 846380754.

457083648 is a `hidden beast` number, since 4 + 570 + 8 + 36 + 48 = 666.

It is a super-2 number, since 2×457083648² = 417850922537975808, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (457083643) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 6822111 + ... + 6822177.

Almost surely, 2^457083648 is an apocalyptic number.

457083648 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 457083648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (807265536).

457083648 is an abundant number, since it is smaller than the sum of its proper divisors (1157447424).

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

457083648 is an equidigital number, since it uses as much as digits as its factorization.

457083648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 126 counting only the distinct ones).

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

The square root of 457083648 is about 21379.5146811147. The cubic root of 457083648 is about 770.3094545229.

The spelling of 457083648 in words is "four hundred fifty-seven million, eighty-three thousand, six hundred forty-eight".