457604576484672 has 112 divisors (see below), whose sum is σ = 1216598163630912. Its totient is φ = 151798887690240.

The previous prime is 457604576484667. The next prime is 457604576484673. The reversal of 457604576484672 is 276484675406754.

It is a super-3 number, since 3×457604576484672³ (a number of 45 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 457604576484594 and 457604576484603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (457604576484673) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37071598 + ... + 47848850.

Almost surely, 2^{457604576484672} 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 457604576484672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (608299081815456).

457604576484672 is an abundant number, since it is smaller than the sum of its proper divisors (758993587146240).

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

457604576484672 is a wasteful number, since it uses less digits than its factorization.

457604576484672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10778336 (or 10778326 counting only the distinct ones).

The product of its (nonzero) digits is 7586611200, while the sum is 75.

The spelling of 457604576484672 in words is "four hundred fifty-seven trillion, six hundred four billion, five hundred seventy-six million, four hundred eighty-four thousand, six hundred seventy-two".