1452729168 has 200 divisors, whose sum is σ = 4620391776. Its totient is φ = 437011200.

The previous prime is 1452729167. The next prime is 1452729199. The reversal of 1452729168 is 8619272541.

It is a super-2 number, since 2×1452729168² = 4220844071115944448, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1452729167) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2580055 + ... + 2580617.

Almost surely, 2^1452729168 is an apocalyptic number.

1452729168 is a gapful number since it is divisible by the number (18) 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 1452729168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2310195888).

1452729168 is an abundant number, since it is smaller than the sum of its proper divisors (3167662608).

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

1452729168 is a wasteful number, since it uses less digits than its factorization.

1452729168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 775 (or 760 counting only the distinct ones).

The product of its digits is 241920, while the sum is 45.

The square root of 1452729168 is about 38114.6844142779. The cubic root of 1452729168 is about 1132.5608686200.

The spelling of 1452729168 in words is "one billion, four hundred fifty-two million, seven hundred twenty-nine thousand, one hundred sixty-eight".