252199040 has 64 divisors (see below), whose sum is σ = 613224000. Its totient is φ = 99154944.

The previous prime is 252199037. The next prime is 252199049. The reversal of 252199040 is 40991252.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 252198988 and 252199006.

It is not an unprimeable number, because it can be changed into a prime (252199049) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 34421 + ... + 41099.

It is an arithmetic number, because the mean of its divisors is an integer number (9581625).

Almost surely, 2^252199040 is an apocalyptic number.

252199040 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 252199040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306612000).

252199040 is an abundant number, since it is smaller than the sum of its proper divisors (361024960).

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

252199040 is an equidigital number, since it uses as much as digits as its factorization.

252199040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6757 (or 6745 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 32.

The square root of 252199040 is about 15880.7757996894. The cubic root of 252199040 is about 631.8022133848.

The spelling of 252199040 in words is "two hundred fifty-two million, one hundred ninety-nine thousand, forty".