468904365 has 24 divisors (see below), whose sum is σ = 814240440. Its totient is φ = 249629184.

The previous prime is 468904351. The next prime is 468904411. The reversal of 468904365 is 563409864.

468904365 is a `hidden beast` number, since 468 + 90 + 43 + 65 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 8649 + 468895716 = 93^2 + 21654^2 .

It is not a de Polignac number, because 468904365 - 2¹⁴ = 468887981 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 468904365.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 16449 + ... + 34761.

It is an arithmetic number, because the mean of its divisors is an integer number (33926685).

Almost surely, 2^468904365 is an apocalyptic number.

468904365 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

468904365 is a deficient number, since it is larger than the sum of its proper divisors (345336075).

468904365 is a wasteful number, since it uses less digits than its factorization.

468904365 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18893 (or 18890 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The square root of 468904365 is about 21654.1997081398. The cubic root of 468904365 is about 776.8933878759.

The spelling of 468904365 in words is "four hundred sixty-eight million, nine hundred four thousand, three hundred sixty-five".