254934960 has 160 divisors (see below), whose sum is σ = 924464640. Its totient is φ = 56899584.

The previous prime is 254934947. The next prime is 254934973. The reversal of 254934960 is 69439452.

It is an interprime number because it is at equal distance from previous prime (254934947) and next prime (254934973).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 70476 + ... + 74004.

It is an arithmetic number, because the mean of its divisors is an integer number (5777904).

Almost surely, 2^254934960 is an apocalyptic number.

254934960 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 254934960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (462232320).

254934960 is an abundant number, since it is smaller than the sum of its proper divisors (669529680).

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

254934960 is a wasteful number, since it uses less digits than its factorization.

254934960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3595 (or 3589 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 42.

The square root of 254934960 is about 15966.6828114045. The cubic root of 254934960 is about 634.0786522517.

The spelling of 254934960 in words is "two hundred fifty-four million, nine hundred thirty-four thousand, nine hundred sixty".