1729800252 has 144 divisors (see below), whose sum is σ = 4807914720. Its totient is φ = 537698304.

The previous prime is 1729800229. The next prime is 1729800257. The reversal of 1729800252 is 2520089271.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1729800257) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4900108 + ... + 4900460.

Almost surely, 2^1729800252 is an apocalyptic number.

1729800252 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 1729800252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2403957360).

1729800252 is an abundant number, since it is smaller than the sum of its proper divisors (3078114468).

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

1729800252 is a wasteful number, since it uses less digits than its factorization.

1729800252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 557 (or 532 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 1729800252 is about 41590.8674110074. The cubic root of 1729800252 is about 1200.4165803673.

The spelling of 1729800252 in words is "one billion, seven hundred twenty-nine million, eight hundred thousand, two hundred fifty-two".