450413840 has 40 divisors (see below), whose sum is σ = 1048777368. Its totient is φ = 179896320.

The previous prime is 450413837. The next prime is 450413851. The reversal of 450413840 is 48314054.

It can be written as a sum of positive squares in 4 ways, for example, as 206554384 + 243859456 = 14372^2 + 15616^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-3 number, since 3×450413840³ (a number of 27 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 54800 + ... + 62480.

Almost surely, 2^450413840 is an apocalyptic number.

450413840 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

450413840 is an abundant number, since it is smaller than the sum of its proper divisors (598363528).

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

450413840 is a wasteful number, since it uses less digits than its factorization.

450413840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8427 (or 8421 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 29.

The square root of 450413840 is about 21222.9554963488. The cubic root of 450413840 is about 766.5442711563.

Adding to 450413840 its reverse (48314054), we get a palindrome (498727894).

The spelling of 450413840 in words is "four hundred fifty million, four hundred thirteen thousand, eight hundred forty".