454400505 has 24 divisors (see below), whose sum is σ = 848215368. Its totient is φ = 223704576.

The previous prime is 454400491. The next prime is 454400519. The reversal of 454400505 is 505004454.

It is an interprime number because it is at equal distance from previous prime (454400491) and next prime (454400519).

It can be written as a sum of positive squares in 4 ways, for example, as 21427641 + 432972864 = 4629^2 + 20808^2 .

It is not a de Polignac number, because 454400505 - 2⁵ = 454400473 is a prime.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 387792 + ... + 388961.

It is an arithmetic number, because the mean of its divisors is an integer number (35342307).

Almost surely, 2^454400505 is an apocalyptic number.

454400505 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

454400505 is a deficient number, since it is larger than the sum of its proper divisors (393814863).

454400505 is a wasteful number, since it uses less digits than its factorization.

454400505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 776777 (or 776774 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 27.

The square root of 454400505 is about 21316.6719963506. The cubic root of 454400505 is about 768.7992219128.

Adding to 454400505 its reverse (505004454), we get a palindrome (959404959).

The spelling of 454400505 in words is "four hundred fifty-four million, four hundred thousand, five hundred five".