453690000 has 225 divisors, whose sum is σ = 1609280959. Its totient is φ = 119280000.

The previous prime is 453689993. The next prime is 453690059. The reversal of 453690000 is 96354.

It is a happy number.

The square root of 453690000 is 21300.

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

It can be written as a sum of positive squares in 2 ways, for example, as 35569296 + 418120704 = 5964^2 + 20448^2 .

It is a tau number, because it is divible by the number of its divisors (225).

It is a super-2 number, since 2×453690000² = 411669232200000000, which contains 22 as substring.

It is an unprimeable number.

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 44 ways as a sum of consecutive naturals, for example, 6389965 + ... + 6390035.

Almost surely, 2^453690000 is an apocalyptic number.

453690000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

453690000 is the 21300-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 453690000

453690000 is an abundant number, since it is smaller than the sum of its proper divisors (1155590959).

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

453690000 is an equidigital number, since it uses as much as digits as its factorization.

453690000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The cubic root of 453690000 is about 768.3983122655.

The spelling of 453690000 in words is "four hundred fifty-three million, six hundred ninety thousand".