254012436480 has 832 divisors, whose sum is σ = 927373224960. Its totient is φ = 58825113600.

The previous prime is 254012436449. The next prime is 254012436481. The reversal of 254012436480 is 84634210452.

It is not an unprimeable number, because it can be changed into a prime (254012436481) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2466140109 + ... + 2466140211.

It is an arithmetic number, because the mean of its divisors is an integer number (1114631280).

Almost surely, 2^254012436480 is an apocalyptic number.

254012436480 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 254012436480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (463686612480).

254012436480 is an abundant number, since it is smaller than the sum of its proper divisors (673360788480).

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

254012436480 is a wasteful number, since it uses less digits than its factorization.

254012436480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 39.

The spelling of 254012436480 in words is "two hundred fifty-four billion, twelve million, four hundred thirty-six thousand, four hundred eighty".