1452729852 has 90 divisors (see below), whose sum is σ = 4284207928. Its totient is φ = 415065672.

The previous prime is 1452729821. The next prime is 1452729869. The reversal of 1452729852 is 2589272541.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a super-4 number, since 4×1452729852⁴ (a number of 38 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is an alternating number because its digits alternate between odd and even.

Its product of digits (403200) is a multiple of the sum of its prime divisors (12).

It is a nialpdrome in base 7.

It is a junction number, because it is equal to n+sod(n) for n = 1452729798 and 1452729807.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 207532833 + ... + 207532839.

Almost surely, 2^1452729852 is an apocalyptic number.

1452729852 is a gapful number since it is divisible by the number (12) 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 1452729852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2142103964).

1452729852 is an abundant number, since it is smaller than the sum of its proper divisors (2831478076).

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

1452729852 is an frugal number, since it uses more digits than its factorization.

1452729852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 12 counting only the distinct ones).

The product of its digits is 403200, while the sum is 45.

The square root of 1452729852 is about 38114.6933871965. The cubic root of 1452729852 is about 1132.5610463709.

Multiplying 1452729852 by its product of digits (403200), we get a square (585740676326400 = 24202080²).

The spelling of 1452729852 in words is "one billion, four hundred fifty-two million, seven hundred twenty-nine thousand, eight hundred fifty-two".