468406900 has 144 divisors (see below), whose sum is σ = 1154926080. Its totient is φ = 163699200.

The previous prime is 468406819. The next prime is 468406901. The reversal of 468406900 is 9604864.

It is a super-2 number, since 2×468406900² = 438810047935220000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 468406900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (468406901) 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 47 ways as a sum of consecutive naturals, for example, 2377602 + ... + 2377798.

It is an arithmetic number, because the mean of its divisors is an integer number (8020320).

Almost surely, 2^468406900 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 468406900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (577463040).

468406900 is an abundant number, since it is smaller than the sum of its proper divisors (686519180).

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

468406900 is a wasteful number, since it uses less digits than its factorization.

468406900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 37.

The square root of 468406900 is about 21642.7100890808. The cubic root of 468406900 is about 776.6185528554.

The spelling of 468406900 in words is "four hundred sixty-eight million, four hundred six thousand, nine hundred".