252816417 has 32 divisors (see below), whose sum is σ = 429960960. Its totient is φ = 143821440.

The previous prime is 252816383. The next prime is 252816427. The reversal of 252816417 is 714618252.

252816417 is a `hidden beast` number, since 2 + 5 + 2 + 8 + 1 + 641 + 7 = 666.

It is not a de Polignac number, because 252816417 - 2¹⁰ = 252815393 is a prime.

It is a super-2 number, since 2×252816417² = 127832281409435778, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (252816427) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41167 + ... + 46907.

It is an arithmetic number, because the mean of its divisors is an integer number (13436280).

Almost surely, 2^252816417 is an apocalyptic number.

252816417 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

It is an amenable number.

252816417 is a deficient number, since it is larger than the sum of its proper divisors (177144543).

252816417 is a wasteful number, since it uses less digits than its factorization.

252816417 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5990 (or 5984 counting only the distinct ones).

The product of its digits is 26880, while the sum is 36.

The square root of 252816417 is about 15900.2017911723. The cubic root of 252816417 is about 632.3173386623.

The spelling of 252816417 in words is "two hundred fifty-two million, eight hundred sixteen thousand, four hundred seventeen".