253006416 has 100 divisors (see below), whose sum is σ = 788655252. Its totient is φ = 77842944.

The previous prime is 253006349. The next prime is 253006433. The reversal of 253006416 is 614600352.

It can be written as a sum of positive squares in 2 ways, for example, as 59907600 + 193098816 = 7740^2 + 13896^2 .

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 253006416.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 9340 + ... + 24356.

Almost surely, 2^253006416 is an apocalyptic number.

253006416 is a gapful number since it is divisible by the number (26) 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 253006416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394327626).

253006416 is an abundant number, since it is smaller than the sum of its proper divisors (535648836).

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

253006416 is a wasteful number, since it uses less digits than its factorization.

253006416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15050 (or 15035 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 253006416 is about 15906.1754045402. The cubic root of 253006416 is about 632.4757007126.

Adding to 253006416 its reverse (614600352), we get a palindrome (867606768).

The spelling of 253006416 in words is "two hundred fifty-three million, six thousand, four hundred sixteen".