468535860 has 192 divisors, whose sum is σ = 1621186560. Its totient is φ = 111559680.

The previous prime is 468535831. The next prime is 468535867. The reversal of 468535860 is 68535864.

468535860 is a `hidden beast` number, since 4 + 68 + 5 + 3 + 586 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (468535867) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 216544 + ... + 218696.

It is an arithmetic number, because the mean of its divisors is an integer number (8443680).

Almost surely, 2^468535860 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 468535860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (810593280).

468535860 is an abundant number, since it is smaller than the sum of its proper divisors (1152650700).

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

468535860 is a wasteful number, since it uses less digits than its factorization.

468535860 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2215 (or 2207 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The square root of 468535860 is about 21645.6891782174. The cubic root of 468535860 is about 776.6898182010.

The spelling of 468535860 in words is "four hundred sixty-eight million, five hundred thirty-five thousand, eight hundred sixty".