254604096 has 84 divisors (see below), whose sum is σ = 747645444. Its totient is φ = 82790400.

The previous prime is 254604073. The next prime is 254604101. The reversal of 254604096 is 690406452.

254604096 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 37454400 + 217149696 = 6120^2 + 14736^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 254604096.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18226 + ... + 29006.

It is an arithmetic number, because the mean of its divisors is an integer number (8900541).

Almost surely, 2^254604096 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 254604096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373822722).

254604096 is an abundant number, since it is smaller than the sum of its proper divisors (493041348).

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

254604096 is a wasteful number, since it uses less digits than its factorization.

254604096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10840 (or 10827 counting only the distinct ones).

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

The square root of 254604096 is about 15956.3183723565. The cubic root of 254604096 is about 633.8042232704.

The spelling of 254604096 in words is "two hundred fifty-four million, six hundred four thousand, ninety-six".