457478325 has 36 divisors (see below), whose sum is σ = 823633668. Its totient is φ = 242726400.

The previous prime is 457478317. The next prime is 457478327. The reversal of 457478325 is 523874754.

457478325 is a `hidden beast` number, since 4 + 574 + 78 + 3 + 2 + 5 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 19873764 + 437604561 = 4458^2 + 20919^2 .

It is not a de Polignac number, because 457478325 - 2³ = 457478317 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (457478327) 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 35 ways as a sum of consecutive naturals, for example, 39165 + ... + 49485.

It is an arithmetic number, because the mean of its divisors is an integer number (22878713).

Almost surely, 2^457478325 is an apocalyptic number.

457478325 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

457478325 is a deficient number, since it is larger than the sum of its proper divisors (366155343).

457478325 is a wasteful number, since it uses less digits than its factorization.

457478325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10534 (or 10526 counting only the distinct ones).

The product of its digits is 940800, while the sum is 45.

The square root of 457478325 is about 21388.7429504401. The cubic root of 457478325 is about 770.5311032029.

The spelling of 457478325 in words is "four hundred fifty-seven million, four hundred seventy-eight thousand, three hundred twenty-five".