457825816 has 96 divisors (see below), whose sum is σ = 1034249040. Its totient is φ = 189326592.

The previous prime is 457825811. The next prime is 457825817. The reversal of 457825816 is 618528754.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (457825811) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2646306 + ... + 2646478.

Almost surely, 2^457825816 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 457825816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (517124520).

457825816 is an abundant number, since it is smaller than the sum of its proper divisors (576423224).

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

457825816 is a wasteful number, since it uses less digits than its factorization.

457825816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393 (or 382 counting only the distinct ones).

The product of its digits is 537600, while the sum is 46.

The square root of 457825816 is about 21396.8646301275. The cubic root of 457825816 is about 770.7261469492.

The spelling of 457825816 in words is "four hundred fifty-seven million, eight hundred twenty-five thousand, eight hundred sixteen".