457644628788480 has 1152 divisors, whose sum is σ = 2006490709708800. Its totient is φ = 96420600446976.

The previous prime is 457644628788449. The next prime is 457644628788521. The reversal of 457644628788480 is 84887826446754.

457644628788480 is a `hidden beast` number, since 4 + 5 + 7 + 6 + 4 + 4 + 62 + 8 + 78 + 8 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a self number, because there is not a number n which added to its sum of digits gives 457644628788480.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 168724299 + ... + 171415221.

Almost surely, 2^{457644628788480} is an apocalyptic number.

457644628788480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 457644628788480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1003245354854400).

457644628788480 is an abundant number, since it is smaller than the sum of its proper divisors (1548846080920320).

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

457644628788480 is a wasteful number, since it uses less digits than its factorization.

457644628788480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2691016 (or 2690996 counting only the distinct ones).

The product of its (nonzero) digits is 18496880640, while the sum is 81.

The spelling of 457644628788480 in words is "four hundred fifty-seven trillion, six hundred forty-four billion, six hundred twenty-eight million, seven hundred eighty-eight thousand, four hundred eighty".