468200417 has 16 divisors (see below), whose sum is σ = 507969792. Its totient is φ = 429853440.

The previous prime is 468200407. The next prime is 468200423. The reversal of 468200417 is 714002864.

It is a cyclic number.

It is not a de Polignac number, because 468200417 - 2¹⁰ = 468199393 is a prime.

It is not an unprimeable number, because it can be changed into a prime (468200407) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 297242 + ... + 298812.

It is an arithmetic number, because the mean of its divisors is an integer number (31748112).

Almost surely, 2^468200417 is an apocalyptic number.

468200417 is a gapful number since it is divisible by the number (47) formed by its first and last digit.

It is an amenable number.

468200417 is a deficient number, since it is larger than the sum of its proper divisors (39769375).

468200417 is a wasteful number, since it uses less digits than its factorization.

468200417 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2008.

The product of its (nonzero) digits is 10752, while the sum is 32.

The square root of 468200417 is about 21637.9392965227. The cubic root of 468200417 is about 776.5044198246.

The spelling of 468200417 in words is "four hundred sixty-eight million, two hundred thousand, four hundred seventeen".