457827696 has 120 divisors (see below), whose sum is σ = 1348083360. Its totient is φ = 144764928.

The previous prime is 457827679. The next prime is 457827701. The reversal of 457827696 is 696728754.

457827696 is a `hidden beast` number, since 4 + 578 + 2 + 7 + 69 + 6 = 666.

It is a congruent number.

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, 453240 + ... + 454248.

It is an arithmetic number, because the mean of its divisors is an integer number (11234028).

Almost surely, 2^457827696 is an apocalyptic number.

457827696 is a gapful number since it is divisible by the number (46) 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 457827696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (674041680).

457827696 is an abundant number, since it is smaller than the sum of its proper divisors (890255664).

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

457827696 is a wasteful number, since it uses less digits than its factorization.

457827696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1183 (or 1174 counting only the distinct ones).

The product of its digits is 5080320, while the sum is 54.

The square root of 457827696 is about 21396.9085617526. The cubic root of 457827696 is about 770.7272019088.

The spelling of 457827696 in words is "four hundred fifty-seven million, eight hundred twenty-seven thousand, six hundred ninety-six".