451222564 has 81 divisors (see below), whose sum is σ = 923899473. Its totient is φ = 192707424.

The previous prime is 451222559. The next prime is 451222573. The reversal of 451222564 is 465222154.

The square root of 451222564 is 21242.

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

It can be written as a sum of positive squares in only one way, i.e., 66748900 + 384473664 = 8170^2 + 19608^2 .

It is a Duffinian number.

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 10493527 + ... + 10493569.

Almost surely, 2^451222564 is an apocalyptic number.

451222564 is the 21242-nd square number.

It is an amenable number.

451222564 is an abundant number, since it is smaller than the sum of its proper divisors (472676909).

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

451222564 is a wasteful number, since it uses less digits than its factorization.

451222564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 77 counting only the distinct ones).

The product of its digits is 19200, while the sum is 31.

The cubic root of 451222564 is about 767.0027769697.

The spelling of 451222564 in words is "four hundred fifty-one million, two hundred twenty-two thousand, five hundred sixty-four".