254006104 has 48 divisors (see below), whose sum is σ = 533478960. Its totient is φ = 113256000.

The previous prime is 254006069. The next prime is 254006107. The reversal of 254006104 is 401600452.

254006104 = 66² + 67² + ... + 913².

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (254006107) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 48829 + ... + 53779.

It is an arithmetic number, because the mean of its divisors is an integer number (11114145).

Almost surely, 2^254006104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 254006104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266739480).

254006104 is an abundant number, since it is smaller than the sum of its proper divisors (279472856).

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

254006104 is a wasteful number, since it uses less digits than its factorization.

254006104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5032 (or 5017 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 254006104 is about 15937.5689488705. The cubic root of 254006104 is about 633.3076261649.

Adding to 254006104 its reverse (401600452), we get a palindrome (655606556).

The spelling of 254006104 in words is "two hundred fifty-four million, six thousand, one hundred four".