457272260648 has 72 divisors (see below), whose sum is σ = 1013948934030. Its totient is φ = 192717060480.

The previous prime is 457272260629. The next prime is 457272260717. The reversal of 457272260648 is 846062272754.

It can be written as a sum of positive squares in 3 ways, for example, as 302981991844 + 154290268804 = 550438^2 + 392798^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 457272260648.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 104564990 + ... + 104569362.

Almost surely, 2^457272260648 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 457272260648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (506974467015).

457272260648 is an abundant number, since it is smaller than the sum of its proper divisors (556676673382).

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

457272260648 is an frugal number, since it uses more digits than its factorization.

457272260648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8827 (or 4443 counting only the distinct ones).

The product of its (nonzero) digits is 9031680, while the sum is 53.

The spelling of 457272260648 in words is "four hundred fifty-seven billion, two hundred seventy-two million, two hundred sixty thousand, six hundred forty-eight".