457743216 has 80 divisors (see below), whose sum is σ = 1355341824. Its totient is φ = 130405632.

The previous prime is 457743149. The next prime is 457743259. The reversal of 457743216 is 612347754.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 126910 + ... + 130466.

Almost surely, 2^457743216 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 457743216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (677670912).

457743216 is an abundant number, since it is smaller than the sum of its proper divisors (897598608).

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

457743216 is a wasteful number, since it uses less digits than its factorization.

457743216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3958 (or 3952 counting only the distinct ones).

The product of its digits is 141120, while the sum is 39.

The square root of 457743216 is about 21394.9343537203. The cubic root of 457743216 is about 770.6797932149.

The spelling of 457743216 in words is "four hundred fifty-seven million, seven hundred forty-three thousand, two hundred sixteen".