417442240 has 56 divisors (see below), whose sum is σ = 1028334240. Its totient is φ = 161215488.

The previous prime is 417442231. The next prime is 417442243. The reversal of 417442240 is 42244714.

It is a junction number, because it is equal to n+sod(n) for n = 417442199 and 417442208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (417442243) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13212 + ... + 31771.

Almost surely, 2^417442240 is an apocalyptic number.

417442240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

417442240 is an abundant number, since it is smaller than the sum of its proper divisors (610892000).

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

417442240 is a wasteful number, since it uses less digits than its factorization.

417442240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45029 (or 45019 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 28.

The square root of 417442240 is about 20431.4032802448. The cubic root of 417442240 is about 747.3639249252.

Adding to 417442240 its reverse (42244714), we get a palindrome (459686954).

The spelling of 417442240 in words is "four hundred seventeen million, four hundred forty-two thousand, two hundred forty".