450242361 has 32 divisors (see below), whose sum is σ = 687536640. Its totient is φ = 291024000.

The previous prime is 450242329. The next prime is 450242369. The reversal of 450242361 is 163242054.

It is not a de Polignac number, because 450242361 - 2⁵ = 450242329 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (450242369) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 190336 + ... + 192686.

It is an arithmetic number, because the mean of its divisors is an integer number (21485520).

Almost surely, 2^450242361 is an apocalyptic number.

450242361 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

450242361 is a deficient number, since it is larger than the sum of its proper divisors (237294279).

450242361 is a wasteful number, since it uses less digits than its factorization.

450242361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2574 (or 2568 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 450242361 is about 21218.9151701966. The cubic root of 450242361 is about 766.4469806810.

The spelling of 450242361 in words is "four hundred fifty million, two hundred forty-two thousand, three hundred sixty-one".