457815645 has 64 divisors (see below), whose sum is σ = 941806080. Its totient is φ = 209252160.

The previous prime is 457815629. The next prime is 457815649. The reversal of 457815645 is 546518754.

457815645 is a `hidden beast` number, since 4 + 5 + 7 + 81 + 564 + 5 = 666.

It is not a de Polignac number, because 457815645 - 2⁴ = 457815629 is a prime.

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

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 457815645.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (457815649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 73555 + ... + 79535.

It is an arithmetic number, because the mean of its divisors is an integer number (14715720).

Almost surely, 2^457815645 is an apocalyptic number.

457815645 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

457815645 is an abundant number, since it is smaller than the sum of its proper divisors (483990435).

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

457815645 is an frugal number, since it uses more digits than its factorization.

457815645 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6014 (or 5996 counting only the distinct ones).

The product of its digits is 672000, while the sum is 45.

The square root of 457815645 is about 21396.6269537981. The cubic root of 457815645 is about 770.7204394557.

The spelling of 457815645 in words is "four hundred fifty-seven million, eight hundred fifteen thousand, six hundred forty-five".