252411600 has 240 divisors, whose sum is σ = 934860800. Its totient is φ = 57024000.

The previous prime is 252411581. The next prime is 252411619. The reversal of 252411600 is 6114252.

It is an interprime number because it is at equal distance from previous prime (252411581) and next prime (252411619).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 1268301 + ... + 1268499.

Almost surely, 2^252411600 is an apocalyptic number.

252411600 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 252411600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (467430400).

252411600 is an abundant number, since it is smaller than the sum of its proper divisors (682449200).

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

252411600 is a wasteful number, since it uses less digits than its factorization.

252411600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 378 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 252411600 is about 15887.4667584231. The cubic root of 252411600 is about 631.9796633952.

Adding to 252411600 its reverse (6114252), we get a palindrome (258525852).

The spelling of 252411600 in words is "two hundred fifty-two million, four hundred eleven thousand, six hundred".