254322420 has 96 divisors (see below), whose sum is σ = 789699456. Its totient is φ = 60633600.

The previous prime is 254322407. The next prime is 254322449. The reversal of 254322420 is 24223452.

254322420 = 123² + 124² + ... + 914².

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37102 + ... + 43418.

It is an arithmetic number, because the mean of its divisors is an integer number (8226036).

Almost surely, 2^254322420 is an apocalyptic number.

254322420 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 254322420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394849728).

254322420 is an abundant number, since it is smaller than the sum of its proper divisors (535377036).

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

254322420 is a wasteful number, since it uses less digits than its factorization.

254322420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6401 (or 6399 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 24.

The square root of 254322420 is about 15947.4894575917. The cubic root of 254322420 is about 633.5704049378.

Adding to 254322420 its reverse (24223452), we get a palindrome (278545872).

The spelling of 254322420 in words is "two hundred fifty-four million, three hundred twenty-two thousand, four hundred twenty".