254002320 has 240 divisors, whose sum is σ = 1002560832. Its totient is φ = 56816640.

The previous prime is 254002303. The next prime is 254002349. The reversal of 254002320 is 23200452.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 254002293 and 254002302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 101727 + ... + 104193.

Almost surely, 2^254002320 is an apocalyptic number.

254002320 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 254002320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (501280416).

254002320 is an abundant number, since it is smaller than the sum of its proper divisors (748558512).

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

254002320 is a wasteful number, since it uses less digits than its factorization.

254002320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2510 (or 2501 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 254002320 is about 15937.4502352164. The cubic root of 254002320 is about 633.3044812957.

Adding to 254002320 its reverse (23200452), we get a palindrome (277202772).

The spelling of 254002320 in words is "two hundred fifty-four million, two thousand, three hundred twenty".