457082145 has 192 divisors, whose sum is σ = 990662400. Its totient is φ = 192430080.

The previous prime is 457082141. The next prime is 457082147. The reversal of 457082145 is 541280754.

457082145 is a `hidden beast` number, since 4 + 570 + 82 + 1 + 4 + 5 = 666.

It is not a de Polignac number, because 457082145 - 2² = 457082141 is a prime.

It is not an unprimeable number, because it can be changed into a prime (457082141) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 7747126 + ... + 7747184.

It is an arithmetic number, because the mean of its divisors is an integer number (5159700).

Almost surely, 2^457082145 is an apocalyptic number.

457082145 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

457082145 is an abundant number, since it is smaller than the sum of its proper divisors (533580255).

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

457082145 is a wasteful number, since it uses less digits than its factorization.

457082145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 36.

The square root of 457082145 is about 21379.4795306153. The cubic root of 457082145 is about 770.3086102016.

The spelling of 457082145 in words is "four hundred fifty-seven million, eighty-two thousand, one hundred forty-five".