254913120 has 576 divisors, whose sum is σ = 1151055360. Its totient is φ = 50181120.

The previous prime is 254913097. The next prime is 254913137. The reversal of 254913120 is 21319452.

254913120 = T₁₈₉₁ + T₁₈₉₂ + ... + T₂₀₂₃.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13416471 + ... + 13416489.

It is an arithmetic number, because the mean of its divisors is an integer number (1998360).

Almost surely, 2^254913120 is an apocalyptic number.

254913120 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 254913120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (575527680).

254913120 is an abundant number, since it is smaller than the sum of its proper divisors (896142240).

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

254913120 is a wasteful number, since it uses less digits than its factorization.

254913120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 254913120 is about 15965.9988726042. The cubic root of 254913120 is about 634.0605447924.

The spelling of 254913120 in words is "two hundred fifty-four million, nine hundred thirteen thousand, one hundred twenty".