417672945 has 24 divisors (see below), whose sum is σ = 741627432. Its totient is φ = 217324800.

The previous prime is 417672919. The next prime is 417672961. The reversal of 417672945 is 549276714.

It can be written as a sum of positive squares in 4 ways, for example, as 42849 + 417630096 = 207^2 + 20436^2 .

It is a de Polignac number, because none of the positive numbers 2^k-417672945 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 417672945.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 111346 + ... + 115035.

It is an arithmetic number, because the mean of its divisors is an integer number (30901143).

Almost surely, 2^417672945 is an apocalyptic number.

417672945 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

417672945 is a deficient number, since it is larger than the sum of its proper divisors (323954487).

417672945 is a wasteful number, since it uses less digits than its factorization.

417672945 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226433 (or 226430 counting only the distinct ones).

The product of its digits is 423360, while the sum is 45.

The square root of 417672945 is about 20437.0483436332. The cubic root of 417672945 is about 747.5015797702.

The spelling of 417672945 in words is "four hundred seventeen million, six hundred seventy-two thousand, nine hundred forty-five".