252440100 has 216 divisors, whose sum is σ = 884755872. Its totient is φ = 59673600.

The previous prime is 252440081. The next prime is 252440141. The reversal of 252440100 is 1044252.

252440100 is a `hidden beast` number, since 2 + 524 + 40 + 100 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 425404 + ... + 425996.

It is an arithmetic number, because the mean of its divisors is an integer number (4096092).

Almost surely, 2^252440100 is an apocalyptic number.

252440100 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 252440100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (442377936).

252440100 is an abundant number, since it is smaller than the sum of its proper divisors (632315772).

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

252440100 is a wasteful number, since it uses less digits than its factorization.

252440100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 667 (or 657 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 252440100 is about 15888.3636665328. The cubic root of 252440100 is about 632.0034482801.

Adding to 252440100 its reverse (1044252), we get a palindrome (253484352).

It can be divided in two parts, 2524 and 40100, that added together give a palindrome (42624).

The spelling of 252440100 in words is "two hundred fifty-two million, four hundred forty thousand, one hundred".