457005440 has 64 divisors (see below), whose sum is σ = 1115847360. Its totient is φ = 178900992.

The previous prime is 457005433. The next prime is 457005443. The reversal of 457005440 is 44500754.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (457005443) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22484 + ... + 37676.

It is an arithmetic number, because the mean of its divisors is an integer number (17435115).

Almost surely, 2^457005440 is an apocalyptic number.

457005440 is a gapful number since it is divisible by the number (40) 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 457005440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (557923680).

457005440 is an abundant number, since it is smaller than the sum of its proper divisors (658841920).

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

457005440 is a wasteful number, since it uses less digits than its factorization.

457005440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15259 (or 15247 counting only the distinct ones).

The product of its (nonzero) digits is 11200, while the sum is 29.

The square root of 457005440 is about 21377.6855622867. The cubic root of 457005440 is about 770.2655181461.

The spelling of 457005440 in words is "four hundred fifty-seven million, five thousand, four hundred forty".