252811416 has 128 divisors (see below), whose sum is σ = 781804800. Its totient is φ = 66977280.

The previous prime is 252811399. The next prime is 252811487. The reversal of 252811416 is 614118252.

It is a super-2 number, since 2×252811416² = 127827224119850112, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 63270 + ... + 67146.

It is an arithmetic number, because the mean of its divisors is an integer number (6107850).

Almost surely, 2^252811416 is an apocalyptic number.

252811416 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 252811416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390902400).

252811416 is an abundant number, since it is smaller than the sum of its proper divisors (528993384).

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

252811416 is a wasteful number, since it uses less digits than its factorization.

252811416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3929 (or 3925 counting only the distinct ones).

The product of its digits is 3840, while the sum is 30.

The square root of 252811416 is about 15900.0445282395. The cubic root of 252811416 is about 632.3131693130.

Adding to 252811416 its reverse (614118252), we get a palindrome (866929668).

The spelling of 252811416 in words is "two hundred fifty-two million, eight hundred eleven thousand, four hundred sixteen".