417628401 has 24 divisors (see below), whose sum is σ = 571594176. Its totient is φ = 271209600.

The previous prime is 417628399. The next prime is 417628433. The reversal of 417628401 is 104826714.

It is not a de Polignac number, because 417628401 - 2¹ = 417628399 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (417628441) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2413951 + ... + 2414123.

It is an arithmetic number, because the mean of its divisors is an integer number (23816424).

Almost surely, 2^417628401 is an apocalyptic number.

It is an amenable number.

417628401 is a deficient number, since it is larger than the sum of its proper divisors (153965775).

417628401 is a wasteful number, since it uses less digits than its factorization.

417628401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 473 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 417628401 is about 20435.9585290243. The cubic root of 417628401 is about 747.4750056332.

The spelling of 417628401 in words is "four hundred seventeen million, six hundred twenty-eight thousand, four hundred one".