468022500 has 360 divisors, whose sum is σ = 1692058368. Its totient is φ = 108000000.

The previous prime is 468022493. The next prime is 468022501. The reversal of 468022500 is 5220864.

It is not an unprimeable number, because it can be changed into a prime (468022501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 7672470 + ... + 7672530.

Almost surely, 2^468022500 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 468022500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (846029184).

468022500 is an abundant number, since it is smaller than the sum of its proper divisors (1224035868).

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

468022500 is a wasteful number, since it uses less digits than its factorization.

468022500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 468022500 is about 21633.8276779677. The cubic root of 468022500 is about 776.4060496715.

The spelling of 468022500 in words is "four hundred sixty-eight million, twenty-two thousand, five hundred".