254960640 has 264 divisors, whose sum is σ = 965659968. Its totient is φ = 61685760.

The previous prime is 254960627. The next prime is 254960707. The reversal of 254960640 is 46069452.

254960640 is a `hidden beast` number, since 2 + 5 + 4 + 9 + 6 + 0 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (264).

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

It is a junction number, because it is equal to n+sod(n) for n = 254960595 and 254960604.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 506629 + ... + 507131.

Almost surely, 2^254960640 is an apocalyptic number.

254960640 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 254960640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (482829984).

254960640 is an abundant number, since it is smaller than the sum of its proper divisors (710699328).

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

254960640 is a wasteful number, since it uses less digits than its factorization.

254960640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 545 (or 524 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 254960640 is about 15967.4869657063. The cubic root of 254960640 is about 634.0999421172.

The spelling of 254960640 in words is "two hundred fifty-four million, nine hundred sixty thousand, six hundred forty".