457838472 has 128 divisors (see below), whose sum is σ = 1443375360. Its totient is φ = 117780480.

The previous prime is 457838471. The next prime is 457838527. The reversal of 457838472 is 274838754.

It is not an unprimeable number, because it can be changed into a prime (457838471) 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 31 ways as a sum of consecutive naturals, for example, 86988 + ... + 92100.

It is an arithmetic number, because the mean of its divisors is an integer number (11276370).

Almost surely, 2^457838472 is an apocalyptic number.

457838472 is a gapful number since it is divisible by the number (42) 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 457838472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (721687680).

457838472 is an abundant number, since it is smaller than the sum of its proper divisors (985536888).

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

457838472 is a wasteful number, since it uses less digits than its factorization.

457838472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5183 (or 5179 counting only the distinct ones).

The product of its digits is 1505280, while the sum is 48.

The square root of 457838472 is about 21397.1603723485. The cubic root of 457838472 is about 770.7332487915.

The spelling of 457838472 in words is "four hundred fifty-seven million, eight hundred thirty-eight thousand, four hundred seventy-two".