254672640 has 144 divisors (see below), whose sum is σ = 903856800. Its totient is φ = 67903488.

The previous prime is 254672633. The next prime is 254672641. The reversal of 254672640 is 46276452.

254672640 is a `hidden beast` number, since 2 + 5 + 4 + 6 + 7 + 2 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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 = 254672595 and 254672604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (254672641) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30876 + ... + 38244.

Almost surely, 2^254672640 is an apocalyptic number.

254672640 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 254672640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (451928400).

254672640 is an abundant number, since it is smaller than the sum of its proper divisors (649184160).

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

254672640 is an equidigital number, since it uses as much as digits as its factorization.

254672640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7399 (or 7379 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 254672640 is about 15958.4660917019. The cubic root of 254672640 is about 633.8610953309.

The spelling of 254672640 in words is "two hundred fifty-four million, six hundred seventy-two thousand, six hundred forty".