457371648 has 156 divisors (see below), whose sum is σ = 1392797640. Its totient is φ = 144211968.

The previous prime is 457371647. The next prime is 457371659. The reversal of 457371648 is 846173754.

457371648 is a `hidden beast` number, since 4 + 573 + 71 + 6 + 4 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (457371641) 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, 700090 + ... + 700742.

It is an arithmetic number, because the mean of its divisors is an integer number (8928190).

Almost surely, 2^457371648 is an apocalyptic number.

457371648 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 457371648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (696398820).

457371648 is an abundant number, since it is smaller than the sum of its proper divisors (935425992).

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

457371648 is a wasteful number, since it uses less digits than its factorization.

457371648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 702 (or 677 counting only the distinct ones).

The product of its digits is 564480, while the sum is 45.

The square root of 457371648 is about 21386.2490399789. The cubic root of 457371648 is about 770.4712064953.

The spelling of 457371648 in words is "four hundred fifty-seven million, three hundred seventy-one thousand, six hundred forty-eight".