253141416 has 64 divisors (see below), whose sum is σ = 767102400. Its totient is φ = 76708800.

The previous prime is 253141411. The next prime is 253141417. The reversal of 253141416 is 614141352.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 253141416.

It is not an unprimeable number, because it can be changed into a prime (253141411) 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 15 ways as a sum of consecutive naturals, for example, 50895 + ... + 55646.

It is an arithmetic number, because the mean of its divisors is an integer number (11985975).

Almost surely, 2^253141416 is an apocalyptic number.

It is an amenable number.

253141416 is an abundant number, since it is smaller than the sum of its proper divisors (513960984).

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

253141416 is a wasteful number, since it uses less digits than its factorization.

253141416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106567 (or 106557 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 253141416 is about 15910.4184734406. The cubic root of 253141416 is about 632.5881735356.

Adding to 253141416 its reverse (614141352), we get a palindrome (867282768).

The spelling of 253141416 in words is "two hundred fifty-three million, one hundred forty-one thousand, four hundred sixteen".