457486848 has 240 divisors, whose sum is σ = 1626520896. Its totient is φ = 120545280.

The previous prime is 457486837. The next prime is 457486877. The reversal of 457486848 is 848684754.

457486848 is a `hidden beast` number, since 4 + 574 + 8 + 68 + 4 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 457486794 and 457486803.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 418783 + ... + 419873.

Almost surely, 2^457486848 is an apocalyptic number.

457486848 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 457486848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (813260448).

457486848 is an abundant number, since it is smaller than the sum of its proper divisors (1169034048).

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

457486848 is a wasteful number, since it uses less digits than its factorization.

457486848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1135 (or 1116 counting only the distinct ones).

The product of its digits is 6881280, while the sum is 54.

The square root of 457486848 is about 21388.9421898326. The cubic root of 457486848 is about 770.5358882718.

The spelling of 457486848 in words is "four hundred fifty-seven million, four hundred eighty-six thousand, eight hundred forty-eight".