457984030464 has 162 divisors, whose sum is σ = 1393640231256. Its totient is φ = 144626273280.

The previous prime is 457984030457. The next prime is 457984030531. The reversal of 457984030464 is 464030489754.

457984030464 is a `hidden beast` number, since 4 + 5 + 79 + 84 + 0 + 30 + 464 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 457984030464.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 556429 + ... + 1107059.

Almost surely, 2^457984030464 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 457984030464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (696820115628).

457984030464 is an abundant number, since it is smaller than the sum of its proper divisors (935656200792).

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

457984030464 is a wasteful number, since it uses less digits than its factorization.

457984030464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 550691 (or 550655 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 54.

The spelling of 457984030464 in words is "four hundred fifty-seven billion, nine hundred eighty-four million, thirty thousand, four hundred sixty-four".