252959800 has 48 divisors (see below), whose sum is σ = 589962240. Its totient is φ = 100869120.

The previous prime is 252959797. The next prime is 252959803. The reversal of 252959800 is 8959252.

It is an interprime number because it is at equal distance from previous prime (252959797) and next prime (252959803).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252959803) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 68809 + ... + 72391.

It is an arithmetic number, because the mean of its divisors is an integer number (12290880).

Almost surely, 2^252959800 is an apocalyptic number.

252959800 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 252959800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294981120).

252959800 is an abundant number, since it is smaller than the sum of its proper divisors (337002440).

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

252959800 is a wasteful number, since it uses less digits than its factorization.

252959800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3952 (or 3943 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 40.

The square root of 252959800 is about 15904.7099942124. The cubic root of 252959800 is about 632.4368541375.

The spelling of 252959800 in words is "two hundred fifty-two million, nine hundred fifty-nine thousand, eight hundred".