457024816 has 40 divisors (see below), whose sum is σ = 917941248. Its totient is φ = 220200000.

The previous prime is 457024811. The next prime is 457024817. The reversal of 457024816 is 618420754.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (457024811) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 122661 + ... + 126331.

Almost surely, 2^457024816 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 457024816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (458970624).

457024816 is an abundant number, since it is smaller than the sum of its proper divisors (460916432).

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

457024816 is a wasteful number, since it uses less digits than its factorization.

457024816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3961 (or 3955 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 37.

The square root of 457024816 is about 21378.1387403113. The cubic root of 457024816 is about 770.2764038326.

The spelling of 457024816 in words is "four hundred fifty-seven million, twenty-four thousand, eight hundred sixteen".