1452063600 has 720 divisors, whose sum is σ = 6044613120. Its totient is φ = 319334400.

The previous prime is 1452063589. The next prime is 1452063607. The reversal of 1452063600 is 63602541.

1452063600 is a `hidden beast` number, since 1 + 4 + 5 + 20 + 636 + 0 + 0 = 666.

1452063600 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (720).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1452063607) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 20451565 + ... + 20451635.

It is an arithmetic number, because the mean of its divisors is an integer number (8395296).

Almost surely, 2^1452063600 is an apocalyptic number.

1452063600 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 1452063600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3022306560).

1452063600 is an abundant number, since it is smaller than the sum of its proper divisors (4592549520).

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

1452063600 is a wasteful number, since it uses less digits than its factorization.

1452063600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 1452063600 is about 38105.9522909479. The cubic root of 1452063600 is about 1132.3878812444.

The spelling of 1452063600 in words is "one billion, four hundred fifty-two million, sixty-three thousand, six hundred".