254161248 has 96 divisors (see below), whose sum is σ = 735340032. Its totient is φ = 76224000.

The previous prime is 254161241. The next prime is 254161291. The reversal of 254161248 is 842161452.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (254161241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 105465 + ... + 107847.

It is an arithmetic number, because the mean of its divisors is an integer number (7659792).

Almost surely, 2^254161248 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 254161248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367670016).

254161248 is an abundant number, since it is smaller than the sum of its proper divisors (481178784).

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

254161248 is a wasteful number, since it uses less digits than its factorization.

254161248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2508 (or 2500 counting only the distinct ones).

The product of its digits is 15360, while the sum is 33.

The square root of 254161248 is about 15942.4354475720. The cubic root of 254161248 is about 633.4365389213.

The spelling of 254161248 in words is "two hundred fifty-four million, one hundred sixty-one thousand, two hundred forty-eight".