254872080 has 240 divisors, whose sum is σ = 931607040. Its totient is φ = 62208000.

The previous prime is 254872069. The next prime is 254872081. The reversal of 254872080 is 80278452.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is not an unprimeable number, because it can be changed into a prime (254872081) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 423780 + ... + 424380.

It is an arithmetic number, because the mean of its divisors is an integer number (3881696).

Almost surely, 2^254872080 is an apocalyptic number.

254872080 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 254872080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (465803520).

254872080 is an abundant number, since it is smaller than the sum of its proper divisors (676734960).

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

254872080 is a wasteful number, since it uses less digits than its factorization.

254872080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 670 (or 661 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 254872080 is about 15964.7135896639. The cubic root of 254872080 is about 634.0265158895.

The spelling of 254872080 in words is "two hundred fifty-four million, eight hundred seventy-two thousand, eighty".