450113895 has 256 divisors, whose sum is σ = 1094860800. Its totient is φ = 169827840.

The previous prime is 450113863. The next prime is 450113929. The reversal of 450113895 is 598311054.

450113895 is a `hidden beast` number, since 450 + 113 + 8 + 95 = 666.

It is not a de Polignac number, because 450113895 - 2⁵ = 450113863 is a prime.

It is a super-3 number, since 3×450113895³ (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 8492689 + ... + 8492741.

It is an arithmetic number, because the mean of its divisors is an integer number (4276800).

Almost surely, 2^450113895 is an apocalyptic number.

450113895 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

450113895 is an abundant number, since it is smaller than the sum of its proper divisors (644746905).

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

450113895 is a wasteful number, since it uses less digits than its factorization.

450113895 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The square root of 450113895 is about 21215.8877966490. The cubic root of 450113895 is about 766.3740779124.

It can be divided in two parts, 450 and 113895, that multiplied together give a triangular number (51252750 = T₁₀₁₂₄).

The spelling of 450113895 in words is "four hundred fifty million, one hundred thirteen thousand, eight hundred ninety-five".