254006406 has 48 divisors (see below), whose sum is σ = 570570000. Its totient is φ = 81601344.

The previous prime is 254006399. The next prime is 254006413. The reversal of 254006406 is 604600452.

It is a happy number.

254006406 is a `hidden beast` number, since 254 + 0 + 0 + 6 + 406 = 666.

254006406 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 (254006399) and next prime (254006413).

It is a self number, because there is not a number n which added to its sum of digits gives 254006406.

It is a congruent number.

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, 70845 + ... + 74343.

It is an arithmetic number, because the mean of its divisors is an integer number (11886875).

Almost surely, 2^254006406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 254006406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285285000).

254006406 is an abundant number, since it is smaller than the sum of its proper divisors (316563594).

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

254006406 is a wasteful number, since it uses less digits than its factorization.

254006406 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3653 (or 3650 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 254006406 is about 15937.5784233365. The cubic root of 254006406 is about 633.3078771547.

Adding to 254006406 its reverse (604600452), we get a palindrome (858606858).

The spelling of 254006406 in words is "two hundred fifty-four million, six thousand, four hundred six".