254804940 has 288 divisors, whose sum is σ = 894653760. Its totient is φ = 60466176.

The previous prime is 254804911. The next prime is 254804947. The reversal of 254804940 is 49408452.

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

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 254804895 and 254804904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (254804947) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2337606 + ... + 2337714.

Almost surely, 2^254804940 is an apocalyptic number.

254804940 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 254804940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (447326880).

254804940 is an abundant number, since it is smaller than the sum of its proper divisors (639848820).

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

254804940 is a wasteful number, since it uses less digits than its factorization.

254804940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 254804940 is about 15962.6106887313. The cubic root of 254804940 is about 633.9708379213.

The spelling of 254804940 in words is "two hundred fifty-four million, eight hundred four thousand, nine hundred forty".