457385760 has 288 divisors, whose sum is σ = 1716322608. Its totient is φ = 110223360.

The previous prime is 457385743. The next prime is 457385771. The reversal of 457385760 is 67583754.

457385760 is a `hidden beast` number, since 4 + 5 + 73 + 8 + 576 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 121616784 + 335768976 = 11028^2 + 18324^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 991930 + ... + 992390.

Almost surely, 2^457385760 is an apocalyptic number.

457385760 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 457385760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (858161304).

457385760 is an abundant number, since it is smaller than the sum of its proper divisors (1258936848).

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

457385760 is a wasteful number, since it uses less digits than its factorization.

457385760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 548 (or 537 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The square root of 457385760 is about 21386.5789690638. The cubic root of 457385760 is about 770.4791305966.

The spelling of 457385760 in words is "four hundred fifty-seven million, three hundred eighty-five thousand, seven hundred sixty".