1452100 has 36 divisors (see below), whose sum is σ = 3396484. Its totient is φ = 535680.

The previous prime is 1452083. The next prime is 1452109. The reversal of 1452100 is 12541.

It can be written as a sum of positive squares in 6 ways, for example, as 495616 + 956484 = 704^2 + 978^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (1452109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 742 + ... + 1858.

2^1452100 is an apocalyptic number.

1452100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1452100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1698242).

1452100 is an abundant number, since it is smaller than the sum of its proper divisors (1944384).

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

1452100 is a wasteful number, since it uses less digits than its factorization.

1452100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1144 (or 1137 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 13.

The square root of 1452100 is about 1205.0311199301. The cubic root of 1452100 is about 113.2397343313.

Adding to 1452100 its reverse (12541), we get a palindrome (1464641).

The spelling of 1452100 in words is "one million, four hundred fifty-two thousand, one hundred".