457781328 has 80 divisors (see below), whose sum is σ = 1371162240. Its totient is φ = 145956096.

The previous prime is 457781323. The next prime is 457781329. The reversal of 457781328 is 823187754.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (457781323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13101 + ... + 32972.

It is an arithmetic number, because the mean of its divisors is an integer number (17139528).

Almost surely, 2^457781328 is an apocalyptic number.

457781328 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

457781328 is an abundant number, since it is smaller than the sum of its proper divisors (913380912).

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

457781328 is a wasteful number, since it uses less digits than its factorization.

457781328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46113 (or 46101 counting only the distinct ones).

The product of its digits is 376320, while the sum is 45.

The square root of 457781328 is about 21395.8250133058. The cubic root of 457781328 is about 770.7011817228.

It can be divided in two parts, 4577 and 81328, that added together give a triangular number (85905 = T₄₁₄).

The spelling of 457781328 in words is "four hundred fifty-seven million, seven hundred eighty-one thousand, three hundred twenty-eight".