468288541 has 24 divisors (see below), whose sum is σ = 555024960. Its totient is φ = 393890112.

The previous prime is 468288529. The next prime is 468288553. The reversal of 468288541 is 145882864.

It is an interprime number because it is at equal distance from previous prime (468288529) and next prime (468288553).

It is not a de Polignac number, because 468288541 - 2⁷ = 468288413 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 468288491 and 468288500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (468288571) 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, 727966 + ... + 728608.

It is an arithmetic number, because the mean of its divisors is an integer number (23126040).

Almost surely, 2^468288541 is an apocalyptic number.

It is an amenable number.

468288541 is a deficient number, since it is larger than the sum of its proper divisors (86736419).

468288541 is a wasteful number, since it uses less digits than its factorization.

468288541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 913 (or 906 counting only the distinct ones).

The product of its digits is 491520, while the sum is 46.

The square root of 468288541 is about 21639.9755314095. The cubic root of 468288541 is about 776.5531342784.

The spelling of 468288541 in words is "four hundred sixty-eight million, two hundred eighty-eight thousand, five hundred forty-one".