446491240 has 72 divisors (see below), whose sum is σ = 1092076290. Its totient is φ = 164216832.

The previous prime is 446491229. The next prime is 446491261. The reversal of 446491240 is 42194644.

It can be written as a sum of positive squares in 9 ways, for example, as 138909796 + 307581444 = 11786^2 + 17538^2 .

It is a super-4 number, since 4×446491240⁴ (a number of 36 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 446491196 and 446491205.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1737192 + ... + 1737448.

Almost surely, 2^446491240 is an apocalyptic number.

446491240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 446491240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (546038145).

446491240 is an abundant number, since it is smaller than the sum of its proper divisors (645585050).

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

446491240 is a wasteful number, since it uses less digits than its factorization.

446491240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 551 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 34.

The square root of 446491240 is about 21130.3393252451. The cubic root of 446491240 is about 764.3125326052.

The spelling of 446491240 in words is "four hundred forty-six million, four hundred ninety-one thousand, two hundred forty".