254096640 has 432 divisors, whose sum is σ = 1056077568. Its totient is φ = 55148544.

The previous prime is 254096599. The next prime is 254096683. The reversal of 254096640 is 46690452.

254096640 is a `hidden beast` number, since 2 + 5 + 4 + 0 + 9 + 6 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 254096595 and 254096604.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1854652 + ... + 1854788.

It is an arithmetic number, because the mean of its divisors is an integer number (2444624).

Almost surely, 2^254096640 is an apocalyptic number.

254096640 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 254096640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (528038784).

254096640 is an abundant number, since it is smaller than the sum of its proper divisors (801980928).

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

254096640 is a wasteful number, since it uses less digits than its factorization.

254096640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 254096640 is about 15940.4090286291. The cubic root of 254096640 is about 633.3828610083.

The spelling of 254096640 in words is "two hundred fifty-four million, ninety-six thousand, six hundred forty".