457006848 has 72 divisors (see below), whose sum is σ = 1280361600. Its totient is φ = 144313344.

The previous prime is 457006843. The next prime is 457006871. The reversal of 457006848 is 848600754.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (457006843) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1068 + ... + 30251.

It is an arithmetic number, because the mean of its divisors is an integer number (17782800).

Almost surely, 2^457006848 is an apocalyptic number.

457006848 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 457006848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (640180800).

457006848 is an abundant number, since it is smaller than the sum of its proper divisors (823354752).

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

457006848 is a wasteful number, since it uses less digits than its factorization.

457006848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31357 (or 31343 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 42.

The square root of 457006848 is about 21377.7184937963. The cubic root of 457006848 is about 770.2663091891.

The spelling of 457006848 in words is "four hundred fifty-seven million, six thousand, eight hundred forty-eight".