452412900 has 81 divisors (see below), whose sum is σ = 1420066011. Its totient is φ = 120473280.

The previous prime is 452412889. The next prime is 452412911. The reversal of 452412900 is 9214254.

The square root of 452412900 is 21270.

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

It is an interprime number because it is at equal distance from previous prime (452412889) and next prime (452412911).

It can be written as a sum of positive squares in 4 ways, for example, as 124947684 + 327465216 = 11178^2 + 18096^2 .

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 637746 + ... + 638454.

Almost surely, 2^452412900 is an apocalyptic number.

452412900 is the 21270-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 452412900

452412900 is an abundant number, since it is smaller than the sum of its proper divisors (967653111).

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

452412900 is a wasteful number, since it uses less digits than its factorization.

452412900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1438 (or 719 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The cubic root of 452412900 is about 767.6766420303.

It can be divided in two parts, 4524 and 12900, that added together give a square (17424 = 132²).

The spelling of 452412900 in words is "four hundred fifty-two million, four hundred twelve thousand, nine hundred".