253430100 has 576 divisors, whose sum is σ = 1079930880. Its totient is φ = 49420800.

The previous prime is 253430087. The next prime is 253430167. The reversal of 253430100 is 1034352.

253430100 is a `hidden beast` number, since 2 + 534 + 30 + 100 = 666.

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

It is a congruent number.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 4781674 + ... + 4781726.

It is an arithmetic number, because the mean of its divisors is an integer number (1874880).

Almost surely, 2^253430100 is an apocalyptic number.

253430100 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 253430100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (539965440).

253430100 is an abundant number, since it is smaller than the sum of its proper divisors (826500780).

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

253430100 is a wasteful number, since it uses less digits than its factorization.

253430100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 253430100 is about 15919.4880570953. The cubic root of 253430100 is about 632.8285513075.

Adding to 253430100 its reverse (1034352), we get a palindrome (254464452).

The spelling of 253430100 in words is "two hundred fifty-three million, four hundred thirty thousand, one hundred".