450364240 has 20 divisors (see below), whose sum is σ = 1047097044. Its totient is φ = 180145664.

The previous prime is 450364231. The next prime is 450364247. The reversal of 450364240 is 42463054.

It can be written as a sum of positive squares in 2 ways, for example, as 139617856 + 310746384 = 11816^2 + 17628^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a junction number, because it is equal to n+sod(n) for n = 450364199 and 450364208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (450364247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2814697 + ... + 2814856.

Almost surely, 2^450364240 is an apocalyptic number.

450364240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

450364240 is an abundant number, since it is smaller than the sum of its proper divisors (596732804).

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

450364240 is a wasteful number, since it uses less digits than its factorization.

450364240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5629566 (or 5629560 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 28.

The square root of 450364240 is about 21221.7869181650. The cubic root of 450364240 is about 766.5161325956.

The spelling of 450364240 in words is "four hundred fifty million, three hundred sixty-four thousand, two hundred forty".