457341066 has 144 divisors (see below), whose sum is σ = 1269725184. Its totient is φ = 120302496.

The previous prime is 457341061. The next prime is 457341083. The reversal of 457341066 is 660143754.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 457341066.

It is not an unprimeable number, because it can be changed into a prime (457341061) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 1193911 + ... + 1194293.

It is an arithmetic number, because the mean of its divisors is an integer number (8817536).

Almost surely, 2^457341066 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 457341066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (634862592).

457341066 is an abundant number, since it is smaller than the sum of its proper divisors (812384118).

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

457341066 is an equidigital number, since it uses as much as digits as its factorization.

457341066 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 457341066 is about 21385.5340358851. The cubic root of 457341066 is about 770.4540336807.

The spelling of 457341066 in words is "four hundred fifty-seven million, three hundred forty-one thousand, sixty-six".