254784960 has 224 divisors, whose sum is σ = 924275520. Its totient is φ = 66023424.

The previous prime is 254784949. The next prime is 254784977. The reversal of 254784960 is 69487452.

It is a happy number.

254784960 is a `hidden beast` number, since 2 + 547 + 8 + 49 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 319282 + ... + 320078.

It is an arithmetic number, because the mean of its divisors is an integer number (4126230).

Almost surely, 2^254784960 is an apocalyptic number.

254784960 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 254784960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (462137760).

254784960 is an abundant number, since it is smaller than the sum of its proper divisors (669490560).

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

254784960 is a wasteful number, since it uses less digits than its factorization.

254784960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 860 (or 844 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 254784960 is about 15961.9848389854. The cubic root of 254784960 is about 633.9542669861.

The spelling of 254784960 in words is "two hundred fifty-four million, seven hundred eighty-four thousand, nine hundred sixty".