254278932480 has 672 divisors, whose sum is σ = 955178995680. Its totient is φ = 64815759360.

The previous prime is 254278932461. The next prime is 254278932529. The reversal of 254278932480 is 84239872452.

254278932480 is a `hidden beast` number, since 2 + 5 + 4 + 2 + 78 + 93 + 2 + 480 = 666.

It is a super-3 number, since 3×254278932480³ (a number of 35 digits) contains 333 as substring.

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 55 ways as a sum of consecutive naturals, for example, 171693340 + ... + 171694820.

It is an arithmetic number, because the mean of its divisors is an integer number (1421397315).

Almost surely, 2^254278932480 is an apocalyptic number.

254278932480 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 254278932480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (477589497840).

254278932480 is an abundant number, since it is smaller than the sum of its proper divisors (700900063200).

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

254278932480 is an equidigital number, since it uses as much as digits as its factorization.

254278932480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1549 (or 1514 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 254278932480 in words is "two hundred fifty-four billion, two hundred seventy-eight million, nine hundred thirty-two thousand, four hundred eighty".