469464800 has 72 divisors (see below), whose sum is σ = 1309822416. Its totient is φ = 160957440.

The previous prime is 469464781. The next prime is 469464803. The reversal of 469464800 is 8464964.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (469464803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 36317 + ... + 47516.

It is an arithmetic number, because the mean of its divisors is an integer number (18191978).

Almost surely, 2^469464800 is an apocalyptic number.

469464800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

469464800 is an abundant number, since it is smaller than the sum of its proper divisors (840357616).

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

469464800 is a wasteful number, since it uses less digits than its factorization.

469464800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83860 (or 83847 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 41.

The square root of 469464800 is about 21667.1364051644. The cubic root of 469464800 is about 777.2027792504.

The spelling of 469464800 in words is "four hundred sixty-nine million, four hundred sixty-four thousand, eight hundred".