462250000 has 105 divisors (see below), whose sum is σ = 1146137673. Its totient is φ = 180600000.

The previous prime is 462249979. The next prime is 462250007. The reversal of 462250000 is 52264.

The square root of 462250000 is 21500.

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

It can be written as a sum of positive squares in 3 ways, for example, as 404975376 + 57274624 = 20124^2 + 7568^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 462250000.

It is not an unprimeable number, because it can be changed into a prime (462250007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 10749979 + ... + 10750021.

Almost surely, 2^462250000 is an apocalyptic number.

462250000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

462250000 is the 21500-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 462250000

462250000 is an abundant number, since it is smaller than the sum of its proper divisors (683887673).

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

462250000 is an frugal number, since it uses more digits than its factorization.

462250000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The cubic root of 462250000 is about 773.2008211979.

The spelling of 462250000 in words is "four hundred sixty-two million, two hundred fifty thousand".