468758745 has 240 divisors, whose sum is σ = 1112348160. Its totient is φ = 186810624.

The previous prime is 468758729. The next prime is 468758749. The reversal of 468758745 is 547857864.

It is not a de Polignac number, because 468758745 - 2⁴ = 468758729 is a prime.

It is a super-2 number, since 2×468758745² = 439469522027950050, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 468758691 and 468758700.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (468758749) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 5933616 + ... + 5933694.

It is an arithmetic number, because the mean of its divisors is an integer number (4634784).

Almost surely, 2^468758745 is an apocalyptic number.

468758745 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

468758745 is an abundant number, since it is smaller than the sum of its proper divisors (643589415).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

468758745 is a wasteful number, since it uses less digits than its factorization.

468758745 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 130 counting only the distinct ones).

The product of its digits is 7526400, while the sum is 54.

The square root of 468758745 is about 21650.8370507932. The cubic root of 468758745 is about 776.8129571692.

The spelling of 468758745 in words is "four hundred sixty-eight million, seven hundred fifty-eight thousand, seven hundred forty-five".