254460960 has 384 divisors, whose sum is σ = 1005903360. Its totient is φ = 59609088.

The previous prime is 254460959. The next prime is 254460967. The reversal of 254460960 is 69064452.

254460960 is a `hidden beast` number, since 2 + 5 + 44 + 609 + 6 + 0 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (254460967) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 1291582 + ... + 1291778.

It is an arithmetic number, because the mean of its divisors is an integer number (2619540).

Almost surely, 2^254460960 is an apocalyptic number.

254460960 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 254460960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (502951680).

254460960 is an abundant number, since it is smaller than the sum of its proper divisors (751442400).

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

254460960 is a wasteful number, since it uses less digits than its factorization.

254460960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 243 counting only the distinct ones).

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

The square root of 254460960 is about 15951.8324966130. The cubic root of 254460960 is about 633.6854281047.

It can be divided in two parts, 2544 and 60960, that added together give a square (63504 = 252²).

The spelling of 254460960 in words is "two hundred fifty-four million, four hundred sixty thousand, nine hundred sixty".