468765945 has 24 divisors (see below), whose sum is σ = 819990600. Its totient is φ = 247712256.

The previous prime is 468765917. The next prime is 468765949. The reversal of 468765945 is 549567864.

468765945 is a `hidden beast` number, since 46 + 8 + 7 + 6 + 594 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1687401 + 467078544 = 1299^2 + 21612^2 .

It is not a de Polignac number, because 468765945 - 2⁶ = 468765881 is a prime.

It is a super-2 number, since 2×468765945² = 439483022383486050, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 468765891 and 468765900.

It is not an unprimeable number, because it can be changed into a prime (468765949) 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, 42880 + ... + 52689.

It is an arithmetic number, because the mean of its divisors is an integer number (34166275).

Almost surely, 2^468765945 is an apocalyptic number.

468765945 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

468765945 is a deficient number, since it is larger than the sum of its proper divisors (351224655).

468765945 is a wasteful number, since it uses less digits than its factorization.

468765945 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95689 (or 95686 counting only the distinct ones).

The product of its digits is 7257600, while the sum is 54.

The square root of 468765945 is about 21651.0033254812. The cubic root of 468765945 is about 776.8169343570.

The spelling of 468765945 in words is "four hundred sixty-eight million, seven hundred sixty-five thousand, nine hundred forty-five".