468495006 has 64 divisors (see below), whose sum is σ = 1099215360. Its totient is φ = 130354560.

The previous prime is 468494977. The next prime is 468495007. The reversal of 468495006 is 600594864.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (468495007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 273280 + ... + 274988.

It is an arithmetic number, because the mean of its divisors is an integer number (17175240).

Almost surely, 2^468495006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 468495006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (549607680).

468495006 is an abundant number, since it is smaller than the sum of its proper divisors (630720354).

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

468495006 is a wasteful number, since it uses less digits than its factorization.

468495006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1889.

The product of its (nonzero) digits is 207360, while the sum is 42.

The square root of 468495006 is about 21644.7454593488. The cubic root of 468495006 is about 776.6672430466.

The spelling of 468495006 in words is "four hundred sixty-eight million, four hundred ninety-five thousand, six".