457135488 has 256 divisors, whose sum is σ = 1445299200. Its totient is φ = 143700480.

The previous prime is 457135463. The next prime is 457135499. The reversal of 457135488 is 884531754.

457135488 is a `hidden beast` number, since 4 + 571 + 35 + 48 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6438493 + ... + 6438563.

It is an arithmetic number, because the mean of its divisors is an integer number (5645700).

Almost surely, 2^457135488 is an apocalyptic number.

457135488 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 457135488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (722649600).

457135488 is an abundant number, since it is smaller than the sum of its proper divisors (988163712).

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

457135488 is an frugal number, since it uses more digits than its factorization.

457135488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 99 counting only the distinct ones).

The product of its digits is 537600, while the sum is 45.

The square root of 457135488 is about 21380.7270222507. The cubic root of 457135488 is about 770.3385748912.

The spelling of 457135488 in words is "four hundred fifty-seven million, one hundred thirty-five thousand, four hundred eighty-eight".