254838804480 has 1092 divisors, whose sum is σ = 1002673644948. Its totient is φ = 62108467200.

The previous prime is 254838804463. The next prime is 254838804497. The reversal of 254838804480 is 84408838452.

254838804480 is a `hidden beast` number, since 2 + 5 + 4 + 83 + 8 + 80 + 4 + 480 = 666.

It is an interprime number because it is at equal distance from previous prime (254838804463) and next prime (254838804497).

It can be written as a sum of positive squares in 6 ways, for example, as 7169347584 + 247669456896 = 84672^2 + 497664^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 2523156430 + ... + 2523156530.

Almost surely, 2^254838804480 is an apocalyptic number.

254838804480 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 254838804480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (501336822474).

254838804480 is an abundant number, since it is smaller than the sum of its proper divisors (747834840468).

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

254838804480 is an equidigital number, since it uses as much as digits as its factorization.

254838804480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 7864320, while the sum is 54.

The spelling of 254838804480 in words is "two hundred fifty-four billion, eight hundred thirty-eight million, eight hundred four thousand, four hundred eighty".