457240000 has 280 divisors, whose sum is σ = 1371161088. Its totient is φ = 147840000.

The previous prime is 457239989. The next prime is 457240009. The reversal of 457240000 is 42754.

It is a tau number, because it is divible by the number of its divisors (280).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (457240009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6439965 + ... + 6440035.

Almost surely, 2^457240000 is an apocalyptic number.

457240000 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 457240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (685580544).

457240000 is an abundant number, since it is smaller than the sum of its proper divisors (913921088).

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

457240000 is an equidigital number, since it uses as much as digits as its factorization.

457240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 22.

The square root of 457240000 is about 21383.1709528779. The cubic root of 457240000 is about 770.3972762993.

Adding to 457240000 its reverse (42754), we get a palindrome (457282754).

The spelling of 457240000 in words is "four hundred fifty-seven million, two hundred forty thousand".