254072016 has 120 divisors (see below), whose sum is σ = 802582560. Its totient is φ = 74323200.

The previous prime is 254071981. The next prime is 254072029. The reversal of 254072016 is 610270452.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 43171 + ... + 48701.

It is an arithmetic number, because the mean of its divisors is an integer number (6688188).

Almost surely, 2^254072016 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 254072016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401291280).

254072016 is an abundant number, since it is smaller than the sum of its proper divisors (548510544).

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

254072016 is a wasteful number, since it uses less digits than its factorization.

254072016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5585 (or 5576 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 254072016 is about 15939.6366332486. The cubic root of 254072016 is about 633.3624003895.

The spelling of 254072016 in words is "two hundred fifty-four million, seventy-two thousand, sixteen".