469324800 has 528 divisors, whose sum is σ = 1990011520. Its totient is φ = 106168320.

The previous prime is 469324799. The next prime is 469324829. The reversal of 469324800 is 8423964.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4838352 + ... + 4838448.

Almost surely, 2^469324800 is an apocalyptic number.

469324800 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 469324800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (995005760).

469324800 is an abundant number, since it is smaller than the sum of its proper divisors (1520686720).

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

469324800 is a wasteful number, since it uses less digits than its factorization.

469324800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 469324800 is about 21663.9054650818. The cubic root of 469324800 is about 777.1255145248.

The spelling of 469324800 in words is "four hundred sixty-nine million, three hundred twenty-four thousand, eight hundred".