254554240 has 128 divisors (see below), whose sum is σ = 636174000. Its totient is φ = 97320960.

The previous prime is 254554231. The next prime is 254554253. The reversal of 254554240 is 42455452.

It can be written as a sum of positive squares in 8 ways, for example, as 32901696 + 221652544 = 5736^2 + 14888^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×254554240² = 129595722203955200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2335306 + ... + 2335414.

Almost surely, 2^254554240 is an apocalyptic number.

254554240 is a gapful number since it is divisible by the number (20) 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 254554240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318087000).

254554240 is an abundant number, since it is smaller than the sum of its proper divisors (381619760).

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

254554240 is a wasteful number, since it uses less digits than its factorization.

254554240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 32000, while the sum is 31.

The square root of 254554240 is about 15954.7560307264. The cubic root of 254554240 is about 633.7628505318.

The spelling of 254554240 in words is "two hundred fifty-four million, five hundred fifty-four thousand, two hundred forty".