417507489 has 45 divisors (see below), whose sum is σ = 708633393. Its totient is φ = 236859336.

The previous prime is 417507487. The next prime is 417507491. The reversal of 417507489 is 984705714.

It is a happy number.

The square root of 417507489 is 20433.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (417507487) and next prime (417507491).

It is not a de Polignac number, because 417507489 - 2¹ = 417507487 is a prime.

It is not an unprimeable number, because it can be changed into a prime (417507487) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 3003582 + ... + 3003720.

Almost surely, 2^417507489 is an apocalyptic number.

417507489 is a gapful number since it is divisible by the number (49) formed by its first and last digit.

417507489 is the 20433-rd square number.

417507489 is the 10217-th centered octagonal number.

It is an amenable number.

417507489 is a deficient number, since it is larger than the sum of its proper divisors (291125904).

417507489 is an frugal number, since it uses more digits than its factorization.

417507489 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The cubic root of 417507489 is about 747.4028622148.

The spelling of 417507489 in words is "four hundred seventeen million, five hundred seven thousand, four hundred eighty-nine".