457075592064 has 640 divisors, whose sum is σ = 1681987507200. Its totient is φ = 119983804416.

The previous prime is 457075592063. The next prime is 457075592081. The reversal of 457075592064 is 460295570754.

It is a happy number.

457075592064 is a `hidden beast` number, since 4 + 5 + 7 + 0 + 7 + 559 + 20 + 64 = 666.

It is a super-2 number, since 2×457075592064² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 457075592064.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (457075592063) 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 79 ways as a sum of consecutive naturals, for example, 225492619 + ... + 225494645.

It is an arithmetic number, because the mean of its divisors is an integer number (2628105480).

Almost surely, 2^457075592064 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 457075592064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (840993753600).

457075592064 is an abundant number, since it is smaller than the sum of its proper divisors (1224911915136).

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

457075592064 is a wasteful number, since it uses less digits than its factorization.

457075592064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2312 (or 2291 counting only the distinct ones).

The product of its (nonzero) digits is 10584000, while the sum is 54.

The spelling of 457075592064 in words is "four hundred fifty-seven billion, seventy-five million, five hundred ninety-two thousand, sixty-four".