457281168 has 40 divisors (see below), whose sum is σ = 1191777888. Its totient is φ = 151076352.

The previous prime is 457281163. The next prime is 457281197. The reversal of 457281168 is 861182754.

It is not an unprimeable number, because it can be changed into a prime (457281163) 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, 36730 + ... + 47577.

Almost surely, 2^457281168 is an apocalyptic number.

457281168 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

457281168 is an abundant number, since it is smaller than the sum of its proper divisors (734496720).

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

457281168 is a wasteful number, since it uses less digits than its factorization.

457281168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84431 (or 84425 counting only the distinct ones).

The product of its digits is 107520, while the sum is 42.

The square root of 457281168 is about 21384.1335573831. The cubic root of 457281168 is about 770.4203967344.

It can be divided in two parts, 457 and 281168, that added together give a triangular number (281625 = T₇₅₀).

The spelling of 457281168 in words is "four hundred fifty-seven million, two hundred eighty-one thousand, one hundred sixty-eight".