457060426260480 has 1344 divisors, whose sum is σ = 1871052887808000. Its totient is φ = 100996931911680.

The previous prime is 457060426260407. The next prime is 457060426260541. The reversal of 457060426260480 is 84062624060754.

It is a happy number.

457060426260480 is a `hidden beast` number, since 4 + 5 + 7 + 0 + 6 + 0 + 4 + 2 + 626 + 0 + 4 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 98313705196 + ... + 98313709844.

Almost surely, 2^{457060426260480} is an apocalyptic number.

457060426260480 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 457060426260480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (935526443904000).

457060426260480 is an abundant number, since it is smaller than the sum of its proper divisors (1413992461547520).

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

457060426260480 is a wasteful number, since it uses less digits than its factorization.

457060426260480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5953 (or 5926 counting only the distinct ones).

The product of its (nonzero) digits is 15482880, while the sum is 54.

The spelling of 457060426260480 in words is "four hundred fifty-seven trillion, sixty billion, four hundred twenty-six million, two hundred sixty thousand, four hundred eighty".