417125440 has 28 divisors (see below), whose sum is σ = 993280716. Its totient is φ = 166850048.

The previous prime is 417125437. The next prime is 417125441. The reversal of 417125440 is 44521714.

It can be written as a sum of positive squares in 2 ways, for example, as 175509504 + 241615936 = 13248^2 + 15544^2 .

It is a junction number, because it is equal to n+sod(n) for n = 417125399 and 417125408.

It is not an unprimeable number, because it can be changed into a prime (417125441) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 651439 + ... + 652078.

Almost surely, 2^417125440 is an apocalyptic number.

417125440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

417125440 is an abundant number, since it is smaller than the sum of its proper divisors (576155276).

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

417125440 is a wasteful number, since it uses less digits than its factorization.

417125440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1303534 (or 1303524 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 28.

The square root of 417125440 is about 20423.6490373292. The cubic root of 417125440 is about 747.1748170773.

The spelling of 417125440 in words is "four hundred seventeen million, one hundred twenty-five thousand, four hundred forty".