416090440 has 32 divisors (see below), whose sum is σ = 937484280. Its totient is φ = 166208512.

The previous prime is 416090429. The next prime is 416090449. The reversal of 416090440 is 44090614.

It can be written as a sum of positive squares in 4 ways, for example, as 368563204 + 47527236 = 19198^2 + 6894^2 .

It is a junction number, because it is equal to n+sod(n) for n = 416090399 and 416090408.

It is not an unprimeable number, because it can be changed into a prime (416090449) 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 7 ways as a sum of consecutive naturals, for example, 24192 + ... + 37648.

Almost surely, 2^416090440 is an apocalyptic number.

416090440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

416090440 is an abundant number, since it is smaller than the sum of its proper divisors (521393840).

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

416090440 is a wasteful number, since it uses less digits than its factorization.

416090440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14241 (or 14237 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 416090440 is about 20398.2950267908. The cubic root of 416090440 is about 746.5563249290.

The spelling of 416090440 in words is "four hundred sixteen million, ninety thousand, four hundred forty".