417600225 has 96 divisors (see below), whose sum is σ = 905338880. Its totient is φ = 184680000.

The previous prime is 417600199. The next prime is 417600247. The reversal of 417600225 is 522006714.

It is not a de Polignac number, because 417600225 - 2¹⁴ = 417583841 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 145050 + ... + 147900.

Almost surely, 2^417600225 is an apocalyptic number.

417600225 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

417600225 is an abundant number, since it is smaller than the sum of its proper divisors (487738655).

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

417600225 is a wasteful number, since it uses less digits than its factorization.

417600225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2908 (or 2897 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 417600225 is about 20435.2691443005. The cubic root of 417600225 is about 747.4581953705.

Adding to 417600225 its reverse (522006714), we get a palindrome (939606939).

The spelling of 417600225 in words is "four hundred seventeen million, six hundred thousand, two hundred twenty-five".