417413440 has 56 divisors (see below), whose sum is σ = 1001889792. Its totient is φ = 165634560.

The previous prime is 417413389. The next prime is 417413449. The reversal of 417413440 is 44314714.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 417413399 and 417413408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (417413449) 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, 35505 + ... + 45775.

Almost surely, 2^417413440 is an apocalyptic number.

417413440 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 417413440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (500944896).

417413440 is an abundant number, since it is smaller than the sum of its proper divisors (584476352).

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

417413440 is a wasteful number, since it uses less digits than its factorization.

417413440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10415 (or 10405 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 28.

The square root of 417413440 is about 20430.6984706838. The cubic root of 417413440 is about 747.3467372571.

The spelling of 417413440 in words is "four hundred seventeen million, four hundred thirteen thousand, four hundred forty".