457300463616 has 364 divisors, whose sum is σ = 1418654824980. Its totient is φ = 147149291520.

The previous prime is 457300463611. The next prime is 457300463617. The reversal of 457300463616 is 616364003754.

457300463616 is a `hidden beast` number, since 4 + 5 + 7 + 3 + 0 + 0 + 4 + 636 + 1 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 141905903616 + 315394560000 = 376704^2 + 561600^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (457300463611) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 86590896 + ... + 86596176.

Almost surely, 2^457300463616 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 457300463616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (709327412490).

457300463616 is an abundant number, since it is smaller than the sum of its proper divisors (961354361364).

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

457300463616 is an frugal number, since it uses more digits than its factorization.

457300463616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5352 (or 5315 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 45.

The spelling of 457300463616 in words is "four hundred fifty-seven billion, three hundred million, four hundred sixty-three thousand, six hundred sixteen".