457869383296 has 128 divisors (see below), whose sum is σ = 1025536050000. Its totient is φ = 202163060736.

The previous prime is 457869383249. The next prime is 457869383297. The reversal of 457869383296 is 692383968754.

It can be written as a sum of positive squares in 8 ways, for example, as 224425797696 + 233443585600 = 473736^2 + 483160^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (457869383297) 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, 5216380 + ... + 5303428.

Almost surely, 2^457869383296 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 457869383296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (512768025000).

457869383296 is an abundant number, since it is smaller than the sum of its proper divisors (567666666704).

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

457869383296 is a wasteful number, since it uses less digits than its factorization.

457869383296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87214 (or 87202 counting only the distinct ones).

The product of its digits is 470292480, while the sum is 70.

The spelling of 457869383296 in words is "four hundred fifty-seven billion, eight hundred sixty-nine million, three hundred eighty-three thousand, two hundred ninety-six".