469218400 has 144 divisors (see below), whose sum is σ = 1366412544. Its totient is φ = 153838080.

The previous prime is 469218383. The next prime is 469218403. The reversal of 469218400 is 4812964.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (469218403) 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 23 ways as a sum of consecutive naturals, for example, 126979 + ... + 130621.

It is an arithmetic number, because the mean of its divisors is an integer number (9488976).

Almost surely, 2^469218400 is an apocalyptic number.

469218400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 469218400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (683206272).

469218400 is an abundant number, since it is smaller than the sum of its proper divisors (897194144).

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

469218400 is a wasteful number, since it uses less digits than its factorization.

469218400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3693 (or 3680 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 34.

The square root of 469218400 is about 21661.4496283144. The cubic root of 469218400 is about 777.0667830564.

The spelling of 469218400 in words is "four hundred sixty-nine million, two hundred eighteen thousand, four hundred".