457775648 has 48 divisors (see below), whose sum is σ = 986398560. Its totient is φ = 207398400.

The previous prime is 457775641. The next prime is 457775651. The reversal of 457775648 is 846577754.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 457775648.

It is not an unprimeable number, because it can be changed into a prime (457775641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 114548 + ... + 118476.

It is an arithmetic number, because the mean of its divisors is an integer number (20549970).

Almost surely, 2^457775648 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 457775648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (493199280).

457775648 is an abundant number, since it is smaller than the sum of its proper divisors (528622912).

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

457775648 is a wasteful number, since it uses less digits than its factorization.

457775648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4281 (or 4273 counting only the distinct ones).

The product of its digits is 6585600, while the sum is 53.

The square root of 457775648 is about 21395.6922767178. The cubic root of 457775648 is about 770.6979941741.

The spelling of 457775648 in words is "four hundred fifty-seven million, seven hundred seventy-five thousand, six hundred forty-eight".