457280640 has 160 divisors (see below), whose sum is σ = 1633216860. Its totient is φ = 121927680.

The previous prime is 457280639. The next prime is 457280647. The reversal of 457280640 is 46082754.

457280640 is a `hidden beast` number, since 4 + 5 + 7 + 2 + 8 + 0 + 640 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 457275456 + 5184 = 21384^2 + 72^2 .

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 457280595 and 457280604.

It is not an unprimeable number, because it can be changed into a prime (457280647) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 47430 + ... + 56250.

Almost surely, 2^457280640 is an apocalyptic number.

457280640 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 457280640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (816608430).

457280640 is an abundant number, since it is smaller than the sum of its proper divisors (1175936220).

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

457280640 is an equidigital number, since it uses as much as digits as its factorization.

457280640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8852 (or 8831 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 457280640 is about 21384.1212117777. The cubic root of 457280640 is about 770.4201002122.

The spelling of 457280640 in words is "four hundred fifty-seven million, two hundred eighty thousand, six hundred forty".