457464405312 has 84 divisors (see below), whose sum is σ = 1311334348116. Its totient is φ = 152477061120.

The previous prime is 457464405301. The next prime is 457464405313. The reversal of 457464405312 is 213504464754.

457464405312 is a `hidden beast` number, since 4 + 5 + 74 + 6 + 4 + 40 + 531 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 168940728576 + 288523676736 = 411024^2 + 537144^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (457464405313) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13067512 + ... + 13102472.

Almost surely, 2^457464405312 is an apocalyptic number.

It is an amenable number.

457464405312 is an abundant number, since it is smaller than the sum of its proper divisors (853869942804).

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

457464405312 is a wasteful number, since it uses less digits than its factorization.

457464405312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57696 (or 57683 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 45.

The spelling of 457464405312 in words is "four hundred fifty-seven billion, four hundred sixty-four million, four hundred five thousand, three hundred twelve".