457731648 has 280 divisors, whose sum is σ = 1548993600. Its totient is φ = 132295680.

The previous prime is 457731643. The next prime is 457731683. The reversal of 457731648 is 846137754.

457731648 is a `hidden beast` number, since 4 + 577 + 31 + 6 + 48 = 666.

It is not an unprimeable number, because it can be changed into a prime (457731643) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1311378 + ... + 1311726.

It is an arithmetic number, because the mean of its divisors is an integer number (5532120).

Almost surely, 2^457731648 is an apocalyptic number.

457731648 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 457731648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (774496800).

457731648 is an abundant number, since it is smaller than the sum of its proper divisors (1091261952).

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

457731648 is a wasteful number, since it uses less digits than its factorization.

457731648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 407 (or 388 counting only the distinct ones).

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

The square root of 457731648 is about 21394.6640076445. The cubic root of 457731648 is about 770.6733010022.

The spelling of 457731648 in words is "four hundred fifty-seven million, seven hundred thirty-one thousand, six hundred forty-eight".