254745920 has 224 divisors, whose sum is σ = 752734080. Its totient is φ = 80732160.

The previous prime is 254745877. The next prime is 254745923. The reversal of 254745920 is 29547452.

254745920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (254745923) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 869294 + ... + 869586.

It is an arithmetic number, because the mean of its divisors is an integer number (3360420).

Almost surely, 2^254745920 is an apocalyptic number.

254745920 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 254745920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376367040).

254745920 is an abundant number, since it is smaller than the sum of its proper divisors (497988160).

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

254745920 is a wasteful number, since it uses less digits than its factorization.

254745920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 353 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 38.

The square root of 254745920 is about 15960.7618865767. The cubic root of 254745920 is about 633.9218856415.

The spelling of 254745920 in words is "two hundred fifty-four million, seven hundred forty-five thousand, nine hundred twenty".