457401168 has 200 divisors, whose sum is σ = 1528727552. Its totient is φ = 129330432.

The previous prime is 457401157. The next prime is 457401181. The reversal of 457401168 is 861104754.

It is a happy number.

457401168 is a `hidden beast` number, since 457 + 40 + 1 + 168 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 1151946 + ... + 1152342.

Almost surely, 2^457401168 is an apocalyptic number.

457401168 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 457401168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (764363776).

457401168 is an abundant number, since it is smaller than the sum of its proper divisors (1071326384).

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

457401168 is a wasteful number, since it uses less digits than its factorization.

457401168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 551 (or 536 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 457401168 is about 21386.9391919461. The cubic root of 457401168 is about 770.4877822354.

The spelling of 457401168 in words is "four hundred fifty-seven million, four hundred one thousand, one hundred sixty-eight".