254466640 has 40 divisors (see below), whose sum is σ = 594736488. Its totient is φ = 101253120.

The previous prime is 254466637. The next prime is 254466643. The reversal of 254466640 is 46664452.

254466640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (254466637) and next prime (254466643).

It can be written as a sum of positive squares in 4 ways, for example, as 4700224 + 249766416 = 2168^2 + 15804^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 254466640.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (254466643) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7200 + ... + 23680.

Almost surely, 2^254466640 is an apocalyptic number.

254466640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

254466640 is an abundant number, since it is smaller than the sum of its proper divisors (340269848).

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

254466640 is a wasteful number, since it uses less digits than its factorization.

254466640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16687 (or 16681 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 37.

The square root of 254466640 is about 15952.0105315913. The cubic root of 254466640 is about 633.6901430473.

The spelling of 254466640 in words is "two hundred fifty-four million, four hundred sixty-six thousand, six hundred forty".