457001328 has 80 divisors (see below), whose sum is σ = 1351627776. Its totient is φ = 130341120.

The previous prime is 457001309. The next prime is 457001381. The reversal of 457001328 is 823100754.

It is a junction number, because it is equal to n+sod(n) for n = 457001295 and 457001304.

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, 305350 + ... + 306842.

Almost surely, 2^457001328 is an apocalyptic number.

457001328 is a gapful number since it is divisible by the number (48) 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 457001328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (675813888).

457001328 is an abundant number, since it is smaller than the sum of its proper divisors (894626448).

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

457001328 is a wasteful number, since it uses less digits than its factorization.

457001328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2422 (or 2416 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 457001328 is about 21377.5893870193. The cubic root of 457001328 is about 770.2632079320.

The spelling of 457001328 in words is "four hundred fifty-seven million, one thousand, three hundred twenty-eight".