457042176 has 252 divisors, whose sum is σ = 1429818880. Its totient is φ = 145566720.

The previous prime is 457042171. The next prime is 457042193. The reversal of 457042176 is 671240754.

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

It is a self number, because there is not a number n which added to its sum of digits gives 457042176.

It is not an unprimeable number, because it can be changed into a prime (457042171) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 5785305 + ... + 5785383.

Almost surely, 2^457042176 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 457042176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (714909440).

457042176 is an abundant number, since it is smaller than the sum of its proper divisors (972776704).

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

457042176 is an frugal number, since it uses more digits than its factorization.

457042176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 457042176 is about 21378.5447587061. The cubic root of 457042176 is about 770.2861566429.

The spelling of 457042176 in words is "four hundred fifty-seven million, forty-two thousand, one hundred seventy-six".