457920848 has 80 divisors (see below), whose sum is σ = 1127177856. Its totient is φ = 175019520.

The previous prime is 457920833. The next prime is 457920907. The reversal of 457920848 is 848029754.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 61790 + ... + 68802.

Almost surely, 2^457920848 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 457920848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (563588928).

457920848 is an abundant number, since it is smaller than the sum of its proper divisors (669257008).

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

457920848 is a wasteful number, since it uses less digits than its factorization.

457920848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7092 (or 7086 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 47.

The square root of 457920848 is about 21399.0852140927. The cubic root of 457920848 is about 770.7794704167.

The spelling of 457920848 in words is "four hundred fifty-seven million, nine hundred twenty thousand, eight hundred forty-eight".