457996480 has 112 divisors (see below), whose sum is σ = 1137367296. Its totient is φ = 175472640.

The previous prime is 457996421. The next prime is 457996489. The reversal of 457996480 is 84699754.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (457996489) 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 15 ways as a sum of consecutive naturals, for example, 1358872 + ... + 1359208.

Almost surely, 2^457996480 is an apocalyptic number.

457996480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 457996480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (568683648).

457996480 is an abundant number, since it is smaller than the sum of its proper divisors (679370816).

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

457996480 is a wasteful number, since it uses less digits than its factorization.

457996480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 522 (or 512 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 52.

The square root of 457996480 is about 21400.8523194755. The cubic root of 457996480 is about 770.8219030656.

The spelling of 457996480 in words is "four hundred fifty-seven million, nine hundred ninety-six thousand, four hundred eighty".