254474561280 has 432 divisors, whose sum is σ = 899699058720. Its totient is φ = 61082959872.

The previous prime is 254474561167. The next prime is 254474561323. The reversal of 254474561280 is 82165474452.

It is a hoax number, since the sum of its digits (48) 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 (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34529436 + ... + 34536804.

It is an arithmetic number, because the mean of its divisors is an integer number (2082636710).

Almost surely, 2^254474561280 is an apocalyptic number.

254474561280 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 254474561280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (449849529360).

254474561280 is an abundant number, since it is smaller than the sum of its proper divisors (645224497440).

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

254474561280 is a wasteful number, since it uses less digits than its factorization.

254474561280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7456 (or 7419 counting only the distinct ones).

The product of its (nonzero) digits is 2150400, while the sum is 48.

The spelling of 254474561280 in words is "two hundred fifty-four billion, four hundred seventy-four million, five hundred sixty-one thousand, two hundred eighty".