1451229252 has 192 divisors, whose sum is σ = 4075868160. Its totient is φ = 397196800.

The previous prime is 1451229239. The next prime is 1451229301. The reversal of 1451229252 is 2529221541.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 4666177 + ... + 4666487.

It is an arithmetic number, because the mean of its divisors is an integer number (21228480).

Almost surely, 2^1451229252 is an apocalyptic number.

1451229252 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 1451229252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2037934080).

1451229252 is an abundant number, since it is smaller than the sum of its proper divisors (2624638908).

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

1451229252 is a wasteful number, since it uses less digits than its factorization.

1451229252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434 (or 432 counting only the distinct ones).

The product of its digits is 14400, while the sum is 33.

The square root of 1451229252 is about 38095.0029793935. The cubic root of 1451229252 is about 1132.1709516779.

The spelling of 1451229252 in words is "one billion, four hundred fifty-one million, two hundred twenty-nine thousand, two hundred fifty-two".