468722500 has 45 divisors (see below), whose sum is σ = 1027375041.
Its totient is φ = 187056000.
The previous prime is 468722479. The next prime is 468722509. The reversal of 468722500 is 5227864.
The square root of 468722500 is 21650.
It is a perfect power (a square), and thus also a powerful number.
It can be written as a sum of positive squares in 7 ways, for example, as 467164996 + 1557504 = 21614^2 + 1248^2
It is a Duffinian number.
It is not an unprimeable number, because it can be changed into a prime (468722509) by changing a digit.
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 14 ways as a sum of consecutive naturals, for example, 1082284 + ... + 1082716.
Almost surely, 2468722500 is an apocalyptic number.
468722500 is the 21650-th square number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 468722500
468722500 is an abundant number, since it is smaller than the sum of its proper divisors (558652541).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
468722500 is an frugal number, since it uses more digits than its factorization.
468722500 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 890 (or 440 counting only the distinct ones).
The product of its (nonzero) digits is 26880, while the sum is 34.
The cubic root of 468722500 is about 776.7929352769.
The spelling of 468722500 in words is "four hundred sixty-eight million, seven hundred twenty-two thousand, five hundred".