254636416 has 32 divisors (see below), whose sum is σ = 510554880. Its totient is φ = 126497280.

The previous prime is 254636407. The next prime is 254636419. The reversal of 254636416 is 614636452.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (254636419) 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 3 ways as a sum of consecutive naturals, for example, 13761 + ... + 26431.

It is an arithmetic number, because the mean of its divisors is an integer number (15954840).

Almost surely, 2^254636416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 254636416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255277440).

254636416 is an abundant number, since it is smaller than the sum of its proper divisors (255918464).

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

254636416 is a wasteful number, since it uses less digits than its factorization.

254636416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12842 (or 12830 counting only the distinct ones).

The product of its digits is 103680, while the sum is 37.

The square root of 254636416 is about 15957.3311051692. The cubic root of 254636416 is about 633.8310409665.

The spelling of 254636416 in words is "two hundred fifty-four million, six hundred thirty-six thousand, four hundred sixteen".