469526448400 has 45 divisors (see below), whose sum is σ = 1128070218063. Its totient is φ = 187805097600.

The previous prime is 469526448371. The next prime is 469526448401. The reversal of 469526448400 is 4844625964.

It is a happy number.

The square root of 469526448400 is 685220.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 140436063504 + 329090384896 = 374748^2 + 573664^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (469526448401) 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 8 ways as a sum of consecutive naturals, for example, 13687270 + ... + 13721530.

Almost surely, 2^469526448400 is an apocalyptic number.

469526448400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

469526448400 is the 685220-th square number.

It is an amenable number.

469526448400 is an abundant number, since it is smaller than the sum of its proper divisors (658543769663).

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

469526448400 is an frugal number, since it uses more digits than its factorization.

469526448400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68540 (or 34268 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 52.

The spelling of 469526448400 in words is "four hundred sixty-nine billion, five hundred twenty-six million, four hundred forty-eight thousand, four hundred".