457147068 has 288 divisors, whose sum is σ = 1447891200. Its totient is φ = 111089664.

The previous prime is 457147027. The next prime is 457147069. The reversal of 457147068 is 860741754.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (457147069) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5507755 + ... + 5507837.

It is an arithmetic number, because the mean of its divisors is an integer number (5027400).

Almost surely, 2^457147068 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 457147068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (723945600).

457147068 is an abundant number, since it is smaller than the sum of its proper divisors (990744132).

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

457147068 is a wasteful number, since it uses less digits than its factorization.

457147068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 42.

The square root of 457147068 is about 21380.9978251718. The cubic root of 457147068 is about 770.3450794875.

The spelling of 457147068 in words is "four hundred fifty-seven million, one hundred forty-seven thousand, sixty-eight".