252319200 has 288 divisors, whose sum is σ = 980937216. Its totient is φ = 55080960.

The previous prime is 252319181. The next prime is 252319211. The reversal of 252319200 is 2913252.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 386074 + ... + 386726.

It is an arithmetic number, because the mean of its divisors is an integer number (3406032).

Almost surely, 2^252319200 is an apocalyptic number.

252319200 is a gapful number since it is divisible by the number (20) 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 252319200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (490468608).

252319200 is an abundant number, since it is smaller than the sum of its proper divisors (728618016).

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

252319200 is a wasteful number, since it uses less digits than its factorization.

252319200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 706 (or 693 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 252319200 is about 15884.5585396636. The cubic root of 252319200 is about 631.9025379806.

It can be divided in two parts, 2523 and 19200, that multiplied together give a square (48441600 = 6960²).

The spelling of 252319200 in words is "two hundred fifty-two million, three hundred nineteen thousand, two hundred".