468393401 has 12 divisors (see below), whose sum is σ = 576917748. Its totient is φ = 377862912.

The previous prime is 468393391. The next prime is 468393451. The reversal of 468393401 is 104393864.

It can be written as a sum of positive squares in 2 ways, for example, as 429318400 + 39075001 = 20720^2 + 6251^2 .

It is not a de Polignac number, because 468393401 - 2²⁶ = 401284537 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (468393451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 280316 + ... + 281981.

It is an arithmetic number, because the mean of its divisors is an integer number (48076479).

Almost surely, 2^468393401 is an apocalyptic number.

It is an amenable number.

468393401 is a deficient number, since it is larger than the sum of its proper divisors (108524347).

468393401 is a wasteful number, since it uses less digits than its factorization.

468393401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 562328 (or 562321 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 38.

The square root of 468393401 is about 21642.3982266291. The cubic root of 468393401 is about 776.6110923372.

The spelling of 468393401 in words is "four hundred sixty-eight million, three hundred ninety-three thousand, four hundred one".