468863541 has 24 divisors (see below), whose sum is σ = 687566880. Its totient is φ = 307850400.

The previous prime is 468863537. The next prime is 468863543. The reversal of 468863541 is 145368864.

468863541 is a `hidden beast` number, since 4 + 6 + 8 + 8 + 635 + 4 + 1 = 666.

It is not a de Polignac number, because 468863541 - 2² = 468863537 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (468863543) 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, 162451 + ... + 165311.

It is an arithmetic number, because the mean of its divisors is an integer number (28648620).

Almost surely, 2^468863541 is an apocalyptic number.

It is an amenable number.

468863541 is a deficient number, since it is larger than the sum of its proper divisors (218703339).

468863541 is a wasteful number, since it uses less digits than its factorization.

468863541 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3137 (or 3134 counting only the distinct ones).

The product of its digits is 552960, while the sum is 45.

The square root of 468863541 is about 21653.2570529239. The cubic root of 468863541 is about 776.8708411204.

The spelling of 468863541 in words is "four hundred sixty-eight million, eight hundred sixty-three thousand, five hundred forty-one".