468634401 has 6 divisors (see below), whose sum is σ = 676916370. Its totient is φ = 312422928.

The previous prime is 468634379. The next prime is 468634429. The reversal of 468634401 is 104436864.

It can be written as a sum of positive squares in only one way, i.e., 425390625 + 43243776 = 20625^2 + 6576^2 .

It is not a de Polignac number, because 468634401 - 2¹⁸ = 468372257 is a prime.

It is a super-3 number, since 3×468634401³ (a number of 27 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (468632401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 26035236 + ... + 26035253.

It is an arithmetic number, because the mean of its divisors is an integer number (112819395).

Almost surely, 2^468634401 is an apocalyptic number.

It is an amenable number.

468634401 is a deficient number, since it is larger than the sum of its proper divisors (208281969).

468634401 is a wasteful number, since it uses less digits than its factorization.

468634401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52070495 (or 52070492 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 468634401 is about 21647.9652854489. The cubic root of 468634401 is about 776.7442647104.

The spelling of 468634401 in words is "four hundred sixty-eight million, six hundred thirty-four thousand, four hundred one".