252402000 has 320 divisors, whose sum is σ = 891371520. Its totient is φ = 61248000.

The previous prime is 252401999. The next prime is 252402001. The reversal of 252402000 is 204252.

252402000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (252401999) and next prime (252402001).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252402001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4277971 + ... + 4278029.

It is an arithmetic number, because the mean of its divisors is an integer number (2785536).

Almost surely, 2^252402000 is an apocalyptic number.

252402000 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 252402000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (445685760).

252402000 is an abundant number, since it is smaller than the sum of its proper divisors (638969520).

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

252402000 is a wasteful number, since it uses less digits than its factorization.

252402000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 15.

The square root of 252402000 is about 15887.1646306067. The cubic root of 252402000 is about 631.9716512414.

Adding to 252402000 its reverse (204252), we get a palindrome (252606252).

The spelling of 252402000 in words is "two hundred fifty-two million, four hundred two thousand".