457845696 has 560 divisors, whose sum is σ = 1793882112. Its totient is φ = 111974400.

The previous prime is 457845691. The next prime is 457845709. The reversal of 457845696 is 696548754.

457845696 is a `hidden beast` number, since 4 + 5 + 78 + 4 + 569 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (457845691) 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 79 ways as a sum of consecutive naturals, for example, 12374190 + ... + 12374226.

Almost surely, 2^457845696 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 457845696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (896941056).

457845696 is an abundant number, since it is smaller than the sum of its proper divisors (1336036416).

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

457845696 is a wasteful number, since it uses less digits than its factorization.

457845696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 91 counting only the distinct ones).

The product of its digits is 7257600, while the sum is 54.

The square root of 457845696 is about 21397.3291791289. The cubic root of 457845696 is about 770.7373024393.

The spelling of 457845696 in words is "four hundred fifty-seven million, eight hundred forty-five thousand, six hundred ninety-six".