1452394144 has 96 divisors (see below), whose sum is σ = 3065610240. Its totient is φ = 676166400.

The previous prime is 1452394121. The next prime is 1452394169. The reversal of 1452394144 is 4414932541.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

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 15 ways as a sum of consecutive naturals, for example, 3369609 + ... + 3370039.

It is an arithmetic number, because the mean of its divisors is an integer number (31933440).

Almost surely, 2^1452394144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1452394144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1532805120).

1452394144 is an abundant number, since it is smaller than the sum of its proper divisors (1613216096).

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

1452394144 is a wasteful number, since it uses less digits than its factorization.

1452394144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 594 (or 586 counting only the distinct ones).

The product of its digits is 69120, while the sum is 37.

The square root of 1452394144 is about 38110.2892143316. The cubic root of 1452394144 is about 1132.4737993409.

The spelling of 1452394144 in words is "one billion, four hundred fifty-two million, three hundred ninety-four thousand, one hundred forty-four".